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دسترسی آزاد مقاله
1 - A Limited Version of Crout Decomposition Method for Solving of Fuzzy Complex Linear Systems
M. GhanbariIn this paper, it is shown that ‎the solution vector obtained by the classic Crout decomposition method is not an algebraic solution of a fuzzy complex linear system‎. Here‎, ‎we propose a limited version of the mentioned method to obtain an algebraic so چکیده کاملIn this paper, it is shown that ‎the solution vector obtained by the classic Crout decomposition method is not an algebraic solution of a fuzzy complex linear system‎. Here‎, ‎we propose a limited version of the mentioned method to obtain an algebraic solution of a fuzzy complex linear system (if it exists)‎. ‎Two numerical examples are presented to show ability and reliability of our method. پرونده مقاله -
دسترسی آزاد مقاله
2 - Adaptive Steffensen-like Methods with Memory for Solving Nonlinear Equations with the Highest Possible Efficiency Indices
M‎. ‎J‎. Lalehchini T. Lotfi K. MahdianiThe primary goal of this work is to introduce two adaptive Steffensen-like methods with memory of the highest efficiency indices. In the existing methods, to improve the convergence order applied to memory concept, the focus has only been on the current and previous ite چکیده کاملThe primary goal of this work is to introduce two adaptive Steffensen-like methods with memory of the highest efficiency indices. In the existing methods, to improve the convergence order applied to memory concept, the focus has only been on the current and previous iteration. However, it is possible to improve the accelerators. Therefore, we achieve superior convergence orders and obtain as high efficiency indices as possible. پرونده مقاله -
دسترسی آزاد مقاله
3 - On an Efficient Family with Memory with High Order of Convergence for Solving Nonlinear Equations
V. Torkashvand M. KazemiThe primary goal of this work is to introduce general family Steffensen-like methods with memory of the high efficiency indices.To achieve this target two parameters are introduced which are calculated with the help of Newton’s interpolatory polynomial.It is shown چکیده کاملThe primary goal of this work is to introduce general family Steffensen-like methods with memory of the high efficiency indices.To achieve this target two parameters are introduced which are calculated with the help of Newton’s interpolatory polynomial.It is shown that the R-order convergence of the proposed methods has been increased from 2;4;8,and 2^n to 3.5,7,14;and 3.5*2^n-1,respectively without any extra evaluation.Computational results confirm the efficient and robust character of presented methods. پرونده مقاله -
دسترسی آزاد مقاله
4 - Resolution of Fuzzy Complex Systems of Linear Equations Via Wu's Method
H. Farahani M. ParipourThe aim of this paper is to present algebraic method which is called Wu's method to solving fuzzy complex systems of linear equations. Wu's method is used as a solution procedure for solving the crisp polynomial equations system. This algorithm leads to solving characte چکیده کاملThe aim of this paper is to present algebraic method which is called Wu's method to solving fuzzy complex systems of linear equations. Wu's method is used as a solution procedure for solving the crisp polynomial equations system. This algorithm leads to solving characteristic sets that are amenable to easy solution. To illustrate the easy application of the proposed method, numerical examples are given and the obtained results are discussed. پرونده مقاله -
دسترسی آزاد مقاله
5 - On the convergence speed of artificial neural networks in the solving of linear systems
A. Jafarian‎Artificial neural networks have the advantages such as learning, ‎adaptation‎, ‎fault-tolerance‎, ‎parallelism and generalization‎. ‎This ‎paper is a scrutiny on the application of diverse learning methods‎ ‎in speed of conve چکیده کامل‎Artificial neural networks have the advantages such as learning, ‎adaptation‎, ‎fault-tolerance‎, ‎parallelism and generalization‎. ‎This ‎paper is a scrutiny on the application of diverse learning methods‎ ‎in speed of convergence in neural networks‎. ‎For this aim‎, ‎first we ‎introduce a perceptron method based on artificial neural networks‎ ‎which has been applied for solving a non-singular system of linear ‎equations‎. ‎Next two famous learning techniques namely‎, ‎the‎ ‎steepest descent and quasi-Newton methods are employed to adjust ‎connection weights of the neural net‎. ‎The main aim of this study ‎is to compare ability and efficacy of the techniques in speed of‎ ‎convergence of the present neural net‎. ‎Finally‎, ‎we illustrate our ‎results on some numerical examples with computer ‎simulations.‎ پرونده مقاله -
دسترسی آزاد مقاله
6 - A new optimal method of fourth-order convergence for solving nonlinear equations
T. LotfiIn this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable Taylor and weight function approximation. The method is based on Weerakoon-Fernando method [S. Weerakoon, G.I. Fernando, A variant of Newton's method with چکیده کاملIn this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable Taylor and weight function approximation. The method is based on Weerakoon-Fernando method [S. Weerakoon, G.I. Fernando, A variant of Newton's method with third-order convergence, Appl. Math. Lett. 17 (2000) 87-93]. The method is optimal, as it needs three evaluations per iterate, namely one evaluation of function and two evaluations of rst derivative. So, Kung and Traub's conjecture is fullled. We also perform some numerical tests that conrm the theoretical results and allow us to compare the proposed method with some existing methods of the same type. پرونده مقاله -
دسترسی آزاد مقاله
7 - Dynamical Control of Computations Using the Family of Optimal Two-point Methods to Solve Nonlinear Equations
M. A. Fariborzi ‎Araghi‎ E. Zarei‎One of the considerable discussions for solving the nonlinear equations is to find the optimal iteration, and to use a proper termination criterion which is able to obtain a high accuracy for the numerical solution. In this paper, for a certain class of the family of op چکیده کاملOne of the considerable discussions for solving the nonlinear equations is to find the optimal iteration, and to use a proper termination criterion which is able to obtain a high accuracy for the numerical solution. In this paper, for a certain class of the family of optimal two-point methods, we propose a new scheme based on the stochastic arithmetic to find the optimal number of iterations in the given iterative solution and obtain the optimal solution with its accuracy. For this purpose, a theorem is proved to illustrate the accuracy of the iterative method and the CESTAC$^1$\footnote{$^1$Controle et Estimation Stochastique des Arrondis de Calculs} method and CADNA$^2$\footnote{$^2$Control of Accuracy and Debugging for Numerical Application} library are applied which allows us to estimate the round-off error effect on any computed result. The classical criterion to terminate the iterative procedure is replaced by a criterion independent of the given accuracy ($\epsilon$) such that the best solution is evaluated numerically, which is able to stop the process as soon as a satisfactory informatical solution is obtained. Some numerical examples are given to validate the results and show the efficiency and importance of using the stochastic arithmetic in place of the floating-point ‎arithmetic.‎ پرونده مقاله -
دسترسی آزاد مقاله
8 - A new iterative with memory class for solving nonlinear equations
P. ‎Bassiri‎ P. Bakhtiari‎‎ S. Abbasbandy‎In this work we develop a new optimal without memory class for approximating a simple root of a nonlinear equation. This class includes three parameters. Therefore, we try to derive some with memory methods so that the convergence order increases as high as possible. So چکیده کاملIn this work we develop a new optimal without memory class for approximating a simple root of a nonlinear equation. This class includes three parameters. Therefore, we try to derive some with memory methods so that the convergence order increases as high as possible. Some numerical examples are also ‎presented.‎‎ پرونده مقاله -
دسترسی آزاد مقاله
9 - SsT decomposition method for solving fully fuzzy linear systems
K. Jaikumar S. SunanthaTheSST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We چکیده کاملTheSST decomposition method for solving system of linear equations make it possible to obtain the values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We have considered a numerical example and tried to find out solution vector x in fuzzified form using method of SST decomposition. پرونده مقاله -
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10 - Direct Kinematics Solution of 3-RCC Parallel Robot using a Semi-Analytical Homotopy Method
Seyyed Mojtaba Varedi-Koulaei Masoumeh RahimiParallel robots are closed-loop mechanisms presenting very good performances in terms of accuracy, rigidity, and the ability to manipulate large loads. Inverse kinematics problem for most parallel robots is straightforward, while the direct kinematics is not. The latter چکیده کاملParallel robots are closed-loop mechanisms presenting very good performances in terms of accuracy, rigidity, and the ability to manipulate large loads. Inverse kinematics problem for most parallel robots is straightforward, while the direct kinematics is not. The latter requires the solution of the system of nonlinear coupled algebraic equations and has many solutions. Except in a limited number of these problems, there is difficulty in finding exact analytical solutions. So these nonlinear simultaneous equations should be solved using some other methods. Continuation or path-following methods are standard numerical techniques to trace the solution paths defined by the Homotopy. This paper presents the direct kinematics solutions for a 3RCC parallel robot by using a semi-analytical Homotopy method called Homotopy Continuation Method (HCM). The HCM has some advantages over the conventional methods and alleviates drawbacks of the traditional numerical techniques, namely; the acquirement of good initial guess values, the problem of convergence and computing time. The direct kinematic problem of the 3RCC parallel robot leads to a system of nonlinear equations with 9 equations and 9 unknown parameters. The proposed method solved these nonlinear equations and extracted all the 36 solutions. Results indicate that this method is effective and reduces computation time in comparison with the Newton–Raphson method. پرونده مقاله -
دسترسی آزاد مقاله
11 - Extraction of Nonlinear Thermo-Electroelastic Equations for High Frequency Vibrations of Piezoelectric Resonators with Initial Static Biases
M.M Mohammadi M Hamedi H DaneshpajoohIn this paper, the general case of an anisotropic thermo-electro elastic body subjected to static biasing fields is considered. The biasing fields may be introduced by heat flux, body forces, external surface tractions, and electric fields. By introducing proper thermod چکیده کاملIn this paper, the general case of an anisotropic thermo-electro elastic body subjected to static biasing fields is considered. The biasing fields may be introduced by heat flux, body forces, external surface tractions, and electric fields. By introducing proper thermodynamic functions and employing variational principle for a thermo-electro elastic body, the nonlinear constitutive relations and the nonlinear equation of motion are extracted. The equations have the advantage of employing the Lagrangian strain and second Piola-Kirchhoff stress tensor with symmetric characteristics. These equations are used to analyze the high frequency vibrations of piezoelectric resonators under finite biasing fields. A system of three dimensional equations is derived for initial and incremental fields on the body. Capability of the equations in numerical modelling of temperature-frequency and force-frequency effects in quartz crystal is demonstrated. The numerical results compare well with the data from experiments. These equations may be used in accurate modelling of piezoelectric devices subjected to thermo electro mechanical loads. پرونده مقاله -
دسترسی آزاد مقاله
12 - Solution and stability analysis of coupled nonlinear Schrodinger equations
M. Shahmansouri B. FarrokhiWe consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equa چکیده کاملWe consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability analysis, the modulational instability condition is given. پرونده مقاله -
دسترسی آزاد مقاله
13 - Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications
Mohammad Hasan Abeda Sultana Nirmal MitraPicture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy چکیده کاملPicture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy numbers by (α,γ,β)-cut method. Some related properties of them are explored. Finally, picture fuzzy linear equations are solved by using these arithmetic operations. پرونده مقاله -
دسترسی آزاد مقاله
14 - A New Eight-Order Iteretive Method for Solving Nonlinear Equations with High Efficiency index
Waziri Mohammed Yusuf Kabir SaminuIn this paper, we develop a new eighth-order method for simple roots of non- linear equations via weight function and interpolation methods. The method requires only three(3) function evaluation and a derivative evaluation with 81/4 ≈ 1.682 efficiency index . Nume چکیده کاملIn this paper, we develop a new eighth-order method for simple roots of non- linear equations via weight function and interpolation methods. The method requires only three(3) function evaluation and a derivative evaluation with 81/4 ≈ 1.682 efficiency index . Numerical comparison between the proposed method with some other methods were presented, which shows that our method is promising . پرونده مقاله -
دسترسی آزاد مقاله
15 - Chebyshev Acceleration Technique for Solving Fuzzy Linear System
س.ح ناصری H. عطاریIn this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, چکیده کاملIn this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, Gauss-Sidel, SOR and conjugate gradient is divergent, our proposed method is applicable and the acquired results are illustrated by some numerical examples. پرونده مقاله -
دسترسی آزاد مقاله
16 - Design of Dual-band Impedance Matching Circuit Using T-shape Shunt Stub
Hadi Andalib Ali-Abadi Fatemeh Geran GharakhiliIn this paper, a new dual-band impedance matching circuit is presented by using a two-section microstrip transmission line and an open-circuit T-shape shunt stub. The governing analytical relations of the structure is first obtained based on transmission lines theory. T چکیده کاملIn this paper, a new dual-band impedance matching circuit is presented by using a two-section microstrip transmission line and an open-circuit T-shape shunt stub. The governing analytical relations of the structure is first obtained based on transmission lines theory. Then, by applying the matching conditions on the obtained relations, i.e. matching an arbitrary load impedance with source impedance of 50Ω at desired frequencies, nonlinear equations are generated, and solved simultaneously, meeting the electrical and physical specifications of all parts of the scheme. In order to evaluate the performance of the proposed circuit, the scheme is depicted and simulated using HFSS software. Simulation results show that the relative bandwidth of the first and the second band are 76% and 11.8%, respectively. In comparison to the previously- schemes in literature, our proposed circuit yields to a wider bandwidth and less occupied area. پرونده مقاله -
دسترسی آزاد مقاله
17 - Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method
H. Laeli Dastjerdi M. Nili Ahmadabadi‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{\beta}(t-s)^{-\alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a tran چکیده کامل‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{\beta}(t-s)^{-\alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also presented‎. ‎Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method‎. پرونده مقاله -
دسترسی آزاد مقاله
18 - Solving systems of nonlinear equations using decomposition technique
M. Nili Ahmadabadi F. Ahmad G. Yuan X. LiA systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of co چکیده کاملA systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singularity and ill-conditioning of the Jacobian. The order of convergence of proposed p-step iterative method is p + 1. Only one Jacobian inversion in the form of LU-factorization is required for a single iteration of the iterative method and in this way, it offers an efficient scheme. For the construction of our proposed iterative method, we used a decomposition technique that naturally provides different iterative schemes. We also computed the computational convergence order that confirms the claimed theoretical order of convergence. The developed iterative scheme is applied to large scale problems, and numerical results show that our iterative scheme is promising. پرونده مقاله -
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19 - Numerical techniques for solving bipolar neutrosophic system of linear equations
M. Gulistan I. Beg A. MalikIn this paper, based on embedding approach three numericalmethods namely Richardson, Gauss-Seidel, and successive over relaxation (SOR)have been developed to solve bipolar neutrosophic system of linear equations.To check the accuracy of these newly developed schemes an چکیده کاملIn this paper, based on embedding approach three numericalmethods namely Richardson, Gauss-Seidel, and successive over relaxation (SOR)have been developed to solve bipolar neutrosophic system of linear equations.To check the accuracy of these newly developed schemes an example with exactand iterative solution is given. پرونده مقاله -
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20 - On edge detour index polynomials
Sh. Safari Sabet M. Farmani O. Khormali A. Mahmiani Z. BagheriThe edge detour index polynomials were recently introduced for computing theedge detour indices. In this paper we find relations among edge detour polynomials for the2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.The edge detour index polynomials were recently introduced for computing theedge detour indices. In this paper we find relations among edge detour polynomials for the2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus. پرونده مقاله -
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21 - Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation
H. R. Rezazadeh M. Maghasedi B. shojaeeIn this paper, we intend to solve special kind of ordinary differential equations which is calledHeun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we constructa stochastic linear equation system from this equation which its s چکیده کاملIn this paper, we intend to solve special kind of ordinary differential equations which is calledHeun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we constructa stochastic linear equation system from this equation which its solution is based on computing fundamentalmatrix of this system and then, this S.D.E. is solved by numerically methods. Moreover, its asymptoticstability and statistical concepts like expectation and variance of solutions are discussed. Finally, the attainedsolutions of these S.D.E.s compared with exact solution of corresponding differential equations. پرونده مقاله -
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22 - Stochastic averaging for SDEs with Hopf Drift and polynomial diffusion coefficients
M. AlvandIt is known that a stochastic differential equation (SDE) induces two probabilisticobjects, namely a difusion process and a stochastic flow. While the diffusion process isdetermined by the infinitesimal mean and variance given by the coefficients of the SDE,this is not چکیده کاملIt is known that a stochastic differential equation (SDE) induces two probabilisticobjects, namely a difusion process and a stochastic flow. While the diffusion process isdetermined by the infinitesimal mean and variance given by the coefficients of the SDE,this is not the case for the stochastic flow induced by the SDE. In order to characterize thestochastic flow uniquely the infinitesimal covariance given by the coefficients of the SDE isneeded in addition. The SDEs we consider here are obtained by a weak perturbation of a rigidrotation by random fields which are white in time. In order to obtain information about thestochastic flow induced by this kind of multiscale SDEs we use averaging for the infinitesimal covariance. The main result here is an explicit determination of the coefficients of the averagedSDE for the case that the diffusion coefficients of the initial SDE are polynomial. To do thiswe develop a complex version of Cholesky decomposition algorithm. پرونده مقاله -
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23 - A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
M. Paripour J. Saeidian A. SadeghiIn this paper, we present an efficient numerical algorithm for solving fuzzy systemsof linear equations based on homotopy perturbation method. The method is discussed indetail and illustrated by solving some numerical examples.In this paper, we present an efficient numerical algorithm for solving fuzzy systemsof linear equations based on homotopy perturbation method. The method is discussed indetail and illustrated by solving some numerical examples. پرونده مقاله -
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24 - Numerical solution of second-order stochastic differential equations with Gaussian random parameters
R. Farnoosh H. Rezazadeh A. Sobhani D. EbrahimibaghaIn this paper, we present the numerical solution of ordinary differential equations(or SDEs), from each order especially second-order with time-varying and Gaussian randomcoefficients. We indicate a complete analysis for second-order equations in special case ofscalar l چکیده کاملIn this paper, we present the numerical solution of ordinary differential equations(or SDEs), from each order especially second-order with time-varying and Gaussian randomcoefficients. We indicate a complete analysis for second-order equations in special case ofscalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differential equations system from this equation, it couldbe approximated or solved numerically by different numerical methods. In the case of linearstochastic differential equations system by Computing fundamental matrix of this system, itcould be calculated based on the exact solution of this system. Finally, this stochastic equation is solved by numerically method like Euler-Maruyama and Milstein. Also its Asymptoticstability and statistical concepts like expectation and variance of solutions are discussed. پرونده مقاله -
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25 - A Third Order Iterative Method for Finding Zeros of Nonlinear Equations
Manijheh Tavoosi‎In this paper‎, ‎we present a new modification of Newton's method‎ ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎ ‎proved that the new method converges cubically‎.‎In this paper‎, ‎we present a new modification of Newton's method‎ ‎for finding a simple root of a nonlinear equation‎. ‎It has been‎ ‎proved that the new method converges cubically‎. پرونده مقاله -
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26 - Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions
Sara Hosseini‎Radial basis function method has been used to handle linear and‎ ‎nonlinear equations‎. ‎The purpose of this paper is to introduce the method of RBF to‎ ‎an existing method in solving nonlinear two-level iterative‎ ‎techniques and al چکیده کامل‎Radial basis function method has been used to handle linear and‎ ‎nonlinear equations‎. ‎The purpose of this paper is to introduce the method of RBF to‎ ‎an existing method in solving nonlinear two-level iterative‎ ‎techniques and also the method is implemented to four numerical‎ ‎examples‎. ‎The results reveal that the technique is very effective‎ ‎and simple. The main property of the method lies in its‎ ‎flexibility and ability to solve nonlinear equations accurately‎ ‎and conveniently. پرونده مقاله -
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27 - Numerical Solution of The First-Order Evolution Equations by Radial Basis Function
Sara Hosseini‎In this work‎, ‎we consider the nonlinear first-order evolution‎ ‎equations‎: ‎$u_t=f(x,t,u,u_x,u_{xx})$ for $0<t<\infty$‎, ‎subject‎ ‎to initial condition $u(x,0)=g(x)$‎, ‎where $u$ is a function of‎ ‎$ چکیده کامل‎In this work‎, ‎we consider the nonlinear first-order evolution‎ ‎equations‎: ‎$u_t=f(x,t,u,u_x,u_{xx})$ for $0<t<\infty$‎, ‎subject‎ ‎to initial condition $u(x,0)=g(x)$‎, ‎where $u$ is a function of‎ ‎$x$ and $t$ and $f$ is a known analytic function‎. ‎The purpose of‎ ‎this paper is to introduce the method of RBF to existing method‎ ‎in solving nonlinear first-order evolution equations and also the‎ ‎method is implemented in four numerical examples‎. ‎The results‎ ‎reveal that the technique is very effective and simple. پرونده مقاله -
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28 - A Three-terms Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations
Mohammed waziri YusufNonlinear conjugate gradient method is well known in solving large-scale unconstrained optimization problems due to it’s low storage requirement and simple to implement. Research activities on it’s application to handle higher dimensional systems of nonlinea چکیده کاملNonlinear conjugate gradient method is well known in solving large-scale unconstrained optimization problems due to it’s low storage requirement and simple to implement. Research activities on it’s application to handle higher dimensional systems of nonlinear equations are just beginning. This paper presents a Threeterm Conjugate Gradient algorithm for solving Large-Scale systems of nonlinear equations by incoporating the hyperplane projection and Powel restart approach. We prove the global convergence of the proposed method with a derivative free line search under suitable assumtions. the numerical results are presented which show that the proposed method is promising. پرونده مقاله -
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29 - A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index
Mohammed waziri Yusuf Kabir SaminuIn this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 چکیده کاملIn this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method is promising. پرونده مقاله -
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30 - A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
Farshid Mirzaee Afsun HamzehIn this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eigh چکیده کاملIn this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new method. پرونده مقاله -
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31 - THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY
M. A. Fariborzi Araghi B. YousefiIn this paper, we apply the Newton’s and He’s iteration formulas in order to solve the nonlinear algebraic equations. In this case, we use the stochastic arithmetic and the CESTAC method to validate the results. We show that the He’s iteration formula چکیده کاملIn this paper, we apply the Newton’s and He’s iteration formulas in order to solve the nonlinear algebraic equations. In this case, we use the stochastic arithmetic and the CESTAC method to validate the results. We show that the He’s iteration formula is more reliable than the Newton’s iteration formula by using the CADNA library. پرونده مقاله -
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32 - NONLINEAR CONTROL OF HEAT TRANSFER DYNAMIC USING HOMOTOPY PERTURBATION METHOD (HPM)
Jamal GhasemiNonlinear problems are more challenging and almost complex to be solved. A recently developed Homotopy Perturbation Method (HPM) is introduced. This method is used to represent the system as a less complicated (almost linear) model. To verify the effectiveness, HPM base چکیده کاملNonlinear problems are more challenging and almost complex to be solved. A recently developed Homotopy Perturbation Method (HPM) is introduced. This method is used to represent the system as a less complicated (almost linear) model. To verify the effectiveness, HPM based model is compared with the nonlinear dynamic in both open and closed loop PI controlled. The error indices are approximation of possible uncertainties which may be occurred. The simulation results reveal the ability of the proposed method. پرونده مقاله -
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33 - Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method
محمدامین بهرامی مهرداد فروتنMeshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration ac چکیده کاملMeshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration accuracy and the integration CPU time, and equations can be isolated directly from the strong form of governing PDE. The fundamental problem of this method is unstable solution especially in the case, including derivative boundary conditions. In this paper hermite type shape functions are used to impose boundary conditions. These shape functions have improved the solution accuracy. also, In this paper effects of various parameters such as type weight functions, order based vector, dilation parameter, distribution nodal on the solution accuracy have been studied. پرونده مقاله -
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34 - Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions
Elnaz Poorfattah Akbar Jafari ShaerlarIn this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operationa چکیده کاملIn this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Volterra-Fredholm integro-differential equation has been reduced to an algebraic system. Some numerical examples are presented to illustrate the effectiveness and accuracy of the method پرونده مقاله
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