In the present paper, a new method is introduced for the approximate solution of two-dimensional mixed Volterra-Fredholm Partial integro-differential equations with initial conditions using twodimensional hybrid Bernstein polynomials and Block-Pulse functions. For this چکیده کامل
In the present paper, a new method is introduced for the approximate solution of two-dimensional mixed Volterra-Fredholm Partial integro-differential equations with initial conditions using twodimensional hybrid Bernstein polynomials and Block-Pulse functions. For this purpose, an operational matrix of product and integration of the cross-product and differentiation are introduced that essentially of hybrid functions. The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations.. The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations.. The use of these operational matrices simplifies considerably the structure of the computational used for a set of algebraic equations methods for the solution of partial integro-differential equations. Convergence analysis and some numerical results are presented to illustrate the effectiveness and accuracy of the method.
پرونده مقاله
در این مقاله یک روش عددی مناسب برای تقریب انتگرال­های وینری که جواب دقیق آنها در دسترس نیست یا پیدا کردن جواب دقیق آنها فرآیند بسیار مشکلی است با استفاده از توابع پایه­ای بلاک پالس معرفی می­شود. تحلیل خطای روش ارائه می­گردد. مثال­های عددی ارائه شده م چکیده کامل
در این مقاله یک روش عددی مناسب برای تقریب انتگرال­های وینری که جواب دقیق آنها در دسترس نیست یا پیدا کردن جواب دقیق آنها فرآیند بسیار مشکلی است با استفاده از توابع پایه­ای بلاک پالس معرفی می­شود. تحلیل خطای روش ارائه می­گردد. مثال­های عددی ارائه شده مبین این است که این روش از دقت مطلوبی برخوردار می­باشد. مزیت روش عددی مورد بحث، انعطاف پذیری و سادگی استفاده آن است.
پرونده مقاله
In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the non چکیده کامل
In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of the proposed method.
پرونده مقاله
The multidimensional exponential Levy equations are used to describe many stochastic phenomena such as market fluctuations. Unfortunately in practice an exact solution does not exist for these equations. This motivates us to propose a numerical solution for n-dimensiona چکیده کامل
The multidimensional exponential Levy equations are used to describe many stochastic phenomena such as market fluctuations. Unfortunately in practice an exact solution does not exist for these equations. This motivates us to propose a numerical solution for n-dimensional exponential Levy equations by block pulse functions. We compute the jump integral of each block pulse function and present a Poisson operational matrix. Then we reduce our equation to a linear lower triangular system by constant, Wiener and Poisson operational matrices. Finally using the forward substitution method, we obtain an approximate answer with the convergence rate of O(h). Moreover, we illustrate the accuracy of the proposed method with a 95% confidence interval by some numerical examples.‎
پرونده مقاله
In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation
with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis
shows efficiency and applicability of the چکیده کامل
In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation
with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis
shows efficiency and applicability of the presented method. Finally, some numerical examples with exact solution
are given.
پرونده مقاله
This article proposes a direct method for solving three types of integral equations with time delay. By using operational matrix of integration, integral equations can be reduced to a linear lower triangular system which can be directly solved by forward substitution. N چکیده کامل
This article proposes a direct method for solving three types of integral equations with time delay. By using operational matrix of integration, integral equations can be reduced to a linear lower triangular system which can be directly solved by forward substitution. Numerical examples shows that the proposed scheme have a suitable degree of accuracy.
پرونده مقاله
سکوی نشر دانش
سند یا سکوی نشر دانش ،سامانه ای جهت مدیریت حوزه علمی و پژوهشی نشریات دانشگاه آزاد می باشد
