About the journal
Dear Researchers,
In line with the decision dated 1398/10/04 registered No. 62815/10 of the directors of the Islamic Azad University, it is agreed that from December 2021 onwards, a sum of 1/500/000 Rials is charged for papers submitted for review upon approval of the editor and an additional 3/500/000 Rials upon final approval (Only Iranian Authors). In case of papers being rejected the initial payment is not recoverable (See the Guide for Authors for more information).
International Journal of Mathematical Modelling & Computations (IJM2C), under license number 1399-11590, dated 1399/07/30, and portal of scientific publications of the Ministry of Science, Research and Technology to the address https://journals.msrt.ir/Home/Detail/11590, IJM2C has received the scientific grade (former scientific-research) and in the evaluation of dated 1400, the quarterly has obtained the "B" grade.
International Journal of Mathematical Modelling & Computations (IJM2C) is an international scientific journal and a forum for the publication of high-quality peer-reviewed papers published by academic publications of Islamic Azad University, Central Tehran Branch, which aims publishing original and high-quality research articles (including regular article, review article, case-study, applied article, and technical paper) on all subareas of Computational and Applied Mathematics. IJM2C is published quarterly per year. IJM2C offers:
- Publication within a short period after acceptance
- Online publication in advance of the printed journal
Aims and Scope: IJM2C aims at publishing original papers of high scientific value in areas of computational, Applied Mathematics and also Computer Science and other related topics such as: Optimization, Numerical Analysis Operations Research,, Artificial Intelligence, Network Flows, Data Mining, Design of Numerical Algorithms and Analysis of their Accuracy, Stability and Complexity, Approximation Theory, Approximate Reasoning, Applied and Computational aspect of Harmonic Analysis, Calculus of Variations, Numerical Solution of Algebraic, Functional, Stochastic, Differential, and Integral Equations, Chaotic Systems, Computational Intelligence, Grid Generation and Adaptivity, Minimization Problems, Computer Simulation, Cryptography, Design of Algorithms, Controllability, Observability, Stability, Discrete Mathematics, Dynamical Systems, Fuzzy Logic, Fuzzy Set Theory and Fuzzy Systems, Intelligent Systems, Mathematical Modelling, Robatics, Optimization, Stochastic Systems and Control, Neural Networks, Nonlinear Analysis, Optimal Control Theory, Optimal Design, Shape Design, Linear, Nonlinear, Integer, and Stochastic Programming, Ordinary and Partial Differential Equations, Special Functions, Soft Computing and their Applications to any field of Science. Also, this journal will offers an international forum for all scientists and engineers engaged in research and development activities to participate. It promotes the Application of Mathematics to Physical Problems particularly in the area of Engineering as well.
International Journal of Mathematical Modelling & Computations is an Open Access journal.
Plagiarism Check
All submitted manuscripts must be free from plagiarism content. All authors are suggested to use plagiarism detection software to do the similarity checking. Editors will also check the similarity of manuscripts in this journal by using iThenticate.
Recent Articles
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Open Access Article
1 - Examining (3+1)- Dimensional Extended Sakovich Equation Using Lie Group Methods
Yadollah AryaNejad Mehdi Jafari Asma KhaliliIssue 2 , Vol. 13 , Spring 2023In this paper, we investigate the symmetry group of the (3 + 1)-dimensional Sakovich equation. We obtain the classical and non-classical Lie symmetries for the equation under consideration. Therefore, we respond to the questi MoreIn this paper, we investigate the symmetry group of the (3 + 1)-dimensional Sakovich equation. We obtain the classical and non-classical Lie symmetries for the equation under consideration. Therefore, we respond to the question of classification of the equation symmetries and, as a result, its invariant solutions. Presenting the algebra of symmetries and utilizing Ibragimov’s method, we create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields. Manuscript profile -
Open Access Article
2 - A New Classes of Solutions of the Einstein-Maxwell Field Equations with Pressure Anisotropy
Kalikkuddy KomathirajIssue 2 , Vol. 13 , Spring 2023In this paper, we present a class of exact solutions to the Einstein-Maxwell system of equations for a spherically symmetric relativistic charged fluid sphere. The field equations are integrated by specifying the forms of the electric field, anisotropic factor, and one MoreIn this paper, we present a class of exact solutions to the Einstein-Maxwell system of equations for a spherically symmetric relativistic charged fluid sphere. The field equations are integrated by specifying the forms of the electric field, anisotropic factor, and one of the gravitational potentials which are physically reasonable. By reducing the condition of pressure isotropy to a linear, second order differential equation which can be solved in general, we show that it is possible to obtain closed-form solutions for a specific range of model parameters. The solution is regular, well behaved and complies with all the requirements of a realistic stellar model. An interesting feature of the new class of solutions is that one can easily switch off the electric and/or anisotropic effects in this formulation. Consequently, we regain some of the earlier solutions. Manuscript profile -
Open Access Article
3 - Some Common Fixed Point Results for Finite Family of G-Monotone Generalized Quasi- Contraction Mappings
Kanayo Eke Johnson OlaleruIssue 2 , Vol. 13 , Spring 2023In this paper, we prove some fixed point theorems for finite family of G-monotone generalized quasi contraction mappings in a metric space endowed with a graph. Example is provided to show the effectiveness of our results.In this paper, we prove some fixed point theorems for finite family of G-monotone generalized quasi contraction mappings in a metric space endowed with a graph. Example is provided to show the effectiveness of our results. Manuscript profile -
Open Access Article
4 - Coronavirus (covid-19) Transmission Dynamics with Vaccination: A Mathematical Model Analysis
Mengesha Firdawoke Mekash MohammedIssue 2 , Vol. 13 , Spring 2023In this paper, a nonlinear mathematical model of COVID-19 was developed. An SVEIHR model has been proposed using a system of ordinary differential equations. The model’s equilibrium points were found, and the model’s stability analysis and sensitivity analys MoreIn this paper, a nonlinear mathematical model of COVID-19 was developed. An SVEIHR model has been proposed using a system of ordinary differential equations. The model’s equilibrium points were found, and the model’s stability analysis and sensitivity analysis around these equilibrium points were investigated. The model’s basic reproduction number is investigated in the next-generation matrix. The disease free equilibrium of the COVID-19 model is stable if the basic reproduction number is less than unity; if the basic reproduction number is greater than unity, the disease free equilibrium is unstable. We also utilize numerical simulation to explain how each parameter affects the basic reproduction number. Manuscript profile -
Open Access Article
5 - Casimir Energy in Non-relativistic Backgrounds: Numerical Approach
Mozhgan Belyad Mohammad Reza Tanhayi TanhayiIssue 2 , Vol. 13 , Spring 2023In this paper we use numerical methods to investigate the Casimir effect for a scalar field in a specific boundary condition. In order to calculate the energy-momentum tensor, the holographic method is used, and, the background is Schrodinger-type metric which is close MoreIn this paper we use numerical methods to investigate the Casimir effect for a scalar field in a specific boundary condition. In order to calculate the energy-momentum tensor, the holographic method is used, and, the background is Schrodinger-type metric which is close to the classical metric. We also compute the holographic entanglement entropy, and, for two steps the mutual information is also studied. By numerical analysis, we argue that the mutual information is always positive. Furthermore, for three entangling regions, we show that the corresponding tripartite information becomes negative. Manuscript profile -
Open Access Article
6 - Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries
Mehdi Jafari Somayeh Sadat MahdionIssue 2 , Vol. 13 , Spring 2023In this research, using the multiplier method and the 2-dimensional homotopy operator, higher order conservation laws for the Hunter-Saxton equation are computed. Also, in order to construct new conse MoreIn this research, using the multiplier method and the 2-dimensional homotopy operator, higher order conservation laws for the Hunter-Saxton equation are computed. Also, in order to construct new conservation laws, the invariance properties of the multipliers are studied using Lie classical symmetries. Manuscript profile
Most Viewed Articles
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Open Access Article
1 - Examining (3+1)- Dimensional Extended Sakovich Equation Using Lie Group Methods
Yadollah AryaNejad Mehdi Jafari Asma KhaliliIssue 2 , Vol. 13 , Spring 2023‎In this paper‎, ‎we investigate the symmetry group of the (3 + 1)-‎dimensional Sakovich equation‎. ‎We obtain the classical and non-classical Lie symmetries for the equation under consideration‎. Therefore‎, ‎we respond to the questi More‎In this paper‎, ‎we investigate the symmetry group of the (3 + 1)-‎dimensional Sakovich equation‎. ‎We obtain the classical and non-classical Lie symmetries for the equation under consideration‎. Therefore‎, ‎we respond to the question of classification of the equation symmetries and‎, ‎as a result‎, ‎its invariant solutions‎. Presenting the algebra of symmetries and utilizing Ibragimov’s method‎, ‎we create the optimal system of Lie subalgebras‎. ‎We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields‎. Manuscript profile -
Open Access Article
2 - HALL AND LON-SLIP EFFECTS ON MAGNETO-MICROPOLAR FLUID WITH COMBINED FORCED AND FREE CONVECTION IN BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE WITH VISCOUS DISSIPATION
G. Deepa N. KishanIssue 1 , Vol. 2 , Winter 2012In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solut MoreIn this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using quasilinearised first and finite difference method. The effects of various parameters of the problem, e.g. the magnetic parameter, Hall parameter, ion- slip parameter, buoyancy parameter and material parameter and Eckert number are discussed and shown graphically. Manuscript profile -
Open Access Article
3 - Compare Adomian Decomposition Method and Laplace Decomposition Method for Burger's-Huxley and Burger's-Fisher equations
seyyed mahmood mirzaeiIssue 4 , Vol. 8 , Autumn 2018In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the appl MoreIn this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required to obtain the approximate solution which is found to be accurate and effcient and in LDM does not need linearization, weak nonlinearity assumptions, or perturbation theory. These methods are used to solve the examples and the results are presented in the tables. Manuscript profile -
Open Access Article
4 - Steady-State and Dynamic Simulations of Gas Absorption Column Using MATLAB and SIMULINK
Naved Siraj Abdul HakimIssue 3 , Vol. 8 , Summer 2018Separation is one of the most important process in all the chemical industries and the gas absorption is the simplest example of separation process which is generally used for the absorption of dilute components from a gaseous mixture. In the present work, a dynamic sys MoreSeparation is one of the most important process in all the chemical industries and the gas absorption is the simplest example of separation process which is generally used for the absorption of dilute components from a gaseous mixture. In the present work, a dynamic system of mathematical equation (algebraic and differential) is modeled to predict the behavior of the absorption column using matrix algebra. The dynamic model was programmed using MATLAB/SIMULINK and S – function was used for building user define blocks to find out the liquid and the gas composition using the standard MATLAB ode45 solver. As a case study, fermentation process is taken as an example to separate CO2 from a mixture of alcohol and CO2 in a tray gas absorber using water as absorbent. The steady state solution was first solved to give the initial condition for the dynamic analysis. Dynamic outcomes for stage compositions was figure out for step changes in the vapor and liquid feed compositions. The model results show good agreement with the practical situation and also compared favorably with results obtained by Bequette. With this work, we are able to provide a readily available simulation that can be used as a test bed for advanced process monitoring. Manuscript profile -
Open Access Article
5 - New Inclusion Sets for the Eigenvalues of Stochastic Tensors
Ali Reza Shojaeifard Ramin NasiriIssue 2 , Vol. 12 , Spring 2022The purpose of this paper is to locate and estimate the eigenvalues of stochastic tensors. We present several estimation theorems about the eigenvalues of stochastic tensors. Meanwhile, we obtain the distribution theorem for the eigenvalues of tensor product of two stoc MoreThe purpose of this paper is to locate and estimate the eigenvalues of stochastic tensors. We present several estimation theorems about the eigenvalues of stochastic tensors. Meanwhile, we obtain the distribution theorem for the eigenvalues of tensor product of two stochastic tensors. We will conclude the paper with the distribution for the eigenvalues of generalized stochastic tensors. Manuscript profile -
Open Access Article
6 - Clustering with K-Means Hybridization Ant Colony Optimization (K-ACO)
Dewi RatnaningsihIssue 2 , Vol. 12 , Spring 2022One of well-known techniques in data mining is clustering. Clustering method which is very popular is K-means cluster because its algorithm is very easy and simple. However, K-means cluster has some weaknesses, one of which is that the cluster result is sensitive toward MoreOne of well-known techniques in data mining is clustering. Clustering method which is very popular is K-means cluster because its algorithm is very easy and simple. However, K-means cluster has some weaknesses, one of which is that the cluster result is sensitive towards centroid initialization so that the cluster result tends to local optimal. This paper explains the modification of K-means cluster, that is, K-means hybridization with ant colony optimization (K-ACO). Ant Colony Optimization (ACO) is optimization algorithm based on ant colony behavior. Through K-ACO, the weaknesses of cluster result which tends to local optimal can be overcome well. The application of hybrid method of K-ACO with the use of R program gives better accuracy compared to K-means cluster. K-means cluster accuracy yielded by Minitab, Mathlab, and SAS at iris data is 89%. Meanwhile, K-ACO hybrid clustering with R program simulated on 38 treatments with 3-time repetitions gives accuracy result of 93,10%. Manuscript profile -
Open Access Article
7 - Mathematical Model for the Effects of Intervention Measures on the Transmission Dynamics of Tungiasis
JAIROS SHINZEH Livingstone LuboobiIssue 2 , Vol. 11 , Spring 2021Tungiasis is a zoonosis affecting human beings and a broad range of domestic and syvatic animals caused by the penetration of an ectoparasite known as “Tunga penetrans” into the skin of its host. In this paper we derive and analyze a mathematical model of co MoreTungiasis is a zoonosis affecting human beings and a broad range of domestic and syvatic animals caused by the penetration of an ectoparasite known as “Tunga penetrans” into the skin of its host. In this paper we derive and analyze a mathematical model of control measures and then examine the effect of the control strategies on the transmission dynamics of Tungiasis. The model effective reproduction number is determined using the next generation operator method and the analysis is performed using the stability theory of the differential equations. The analytical results show that the disease free equilibrium is locally asymptotically stable when and unstable when . Using Meltzer matrix stability theorem we found that the disease free equilibrium is globally asymptotically stable and by Lyapunov method, the endemic equilibrium is globally asymptotically stable when . From the numerical simulation it was observed that the control strategies have positive impact on the reduction of transmission of Tungiasis disease and that they work better in combination than when applied as singly. The results from simulations will help the decision makers from national health care to advise people at risk with Tungiasis to apply the control strategies based on: educational campaign, personal protection, personal treatment, environmental hygiene and insecticides application to control the flea. Manuscript profile -
Open Access Article
8 - A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
Farshid Mirzaee Afsun HamzehIssue 1 , Vol. 4 , Winter 2014In 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 MoreIn 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. Manuscript profile -
Open Access Article
9 - Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation
Hamid Yazdani Mehdi Nadjafikhah Megerdich ToomanianIssue 4 , Vol. 11 , Autumn 2021So far, the numerous methods for solving and analyzing differential equations are proposed. Meanwhile; the combined methods are beneficial; one of them is the Optimized MRA method (OMRA). This method is based on the Father wavelets (dependent on the invariant solutions MoreSo far, the numerous methods for solving and analyzing differential equations are proposed. Meanwhile; the combined methods are beneficial; one of them is the Optimized MRA method (OMRA). This method is based on the Father wavelets (dependent on the invariant solutions obtained by the Lie symmetry method) and correspondent MRA. In this paper, we apply the OMRA on the generalized version of FKPP equation (GFKPP) with function coefficientfutt(x,t) + ut(x,t) = uxx(x,t) + u(x,t) - u2(x,t),where f is a smooth function of either x or t.We will see that by the suitable Father wavelets, this method proposes attractive approximate solutions. Manuscript profile -
Open Access Article
10 - EMDH Flow of Carbon-Based Nanofluids over a Plane Sheet with Rotation and Soret Effect
Aetdene Wilson Rabiu Musah Kwara Nantomah Etwire ChristianIssue 2 , Vol. 12 , Spring 2022In this paper, Electro-Magneto-Hydrodynamic flow of carbon-based nanofluids over a plane sheet is investigated. Carbon nanotubes, graphene and graphite nanon- particles are considered with water as the base fluid. The governing equations formulated for the nanofluids ar MoreIn this paper, Electro-Magneto-Hydrodynamic flow of carbon-based nanofluids over a plane sheet is investigated. Carbon nanotubes, graphene and graphite nanon- particles are considered with water as the base fluid. The governing equations formulated for the nanofluids are reduced to nonlinear ordinary differential equations by using similarity transformations. The coupled nonlinear equations are solved numerically by forth order Runge-Kutta method coupled with shooting techique. The numerical results obtained for the skin friction coefficient, nusselt number and sherwood number, as well as the velocity, temperature and concentration profiles for different values of various parameters demonstrate good agreement with literature. The enhanced thermal transport in graphene makes it a good coolant as compared to carbon nanotubes and graphite nanofluids. Manuscript profile
