University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 Equidistribution grids for two-parameter convection–diffusion boundary-value problems 1 21 EN Jugal Mohapatra 0000-0001-5118-3933 jugal@nitrkl.ac.in In this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. A numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. Truncation errors are derived for both continuous and discontinuous problems. Parameter uniform error bounds for the discrete solution are established. Numerical examples are carried out to show the performance of the proposed method on the adaptive grids. Two,parameter singular perturbation problems,discontinuous coeffi,AMS Subject Classification : Keywords cient,boundary and interior layers,finite difference methods,adaptive grids https://jmm.guilan.ac.ir/article_99.html https://jmm.guilan.ac.ir/article_99_ca31ca0c8015b811d31bbe40790bfbac.pdf
University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations 22 40 EN Hossein Aminikhah hossein.aminikhah@gmail.com Amir Hossein Refahi Sheikhani ah_refahi@yahoo.com Hadi Rezazadeh rezazadehadi1363@gmail.com The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results obtained by the proposed method show that the approach is very efficient, less computational and can be applied to other linear and nonlinear partial differential equations. Laplace transform,partial differential equation,new homotopy pertur,bation method,fractional https://jmm.guilan.ac.ir/article_100.html https://jmm.guilan.ac.ir/article_100_cb34c32248c989022a1ac152a9f3d759.pdf
University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 A numerical algorithm for solving a class of matrix equations 41 54 EN Huamin Zhang zhangeasymail@126.com Hongcai Yin hongcaiyin@sina.com Rui Ding rding12@126.com In this paper, we present a numerical algorithm for solving matrix equations \$(A otimes B)X = F\$  by extending the well-known Gaussian elimination for \$Ax = b\$. The proposed algorithm has a high computational efficiency. Two numerical examples are provided to show the effectiveness of the proposed algorithm. aussian elimination,Kronecker product,matrix equation https://jmm.guilan.ac.ir/article_101.html https://jmm.guilan.ac.ir/article_101_05bf065d7f2c614aff5cbc6474f5028e.pdf
University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 Basic results on distributed order fractional hybrid differential equations with linear perturbations 55 73 EN Hossein Noroozi hono1458@yahoo.com Alireza Ansari alireza_1038@yahoo.com In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional Riemann-Liouville derivative of order \$0 < q < 1\$ with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed \$varphi\$-Lipschitz and Caratheodory conditions. Some basic fractional differential inequalities of distributed order are utilized to prove the existence of extremal solutions and comparison principle Fractional hybrid differential equations,distributed order,extremal solutions,Banach algebra https://jmm.guilan.ac.ir/article_102.html https://jmm.guilan.ac.ir/article_102_b82e26b4e06c58afab2f6423d030cb3c.pdf
University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 Arrival probability in the stochastic networks with an established discrete time Markov chain 74 89 EN Gholam Hassan Shirdel shirdel81math@gmail.com Mohsen Abdolhosseinzadeh a_m_stu@yahoo.com The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is assumed to have some wait states, if there is a physical connection but not any immediate communication between two nodes. The Numerical results show, the critical nodes and arcs are detected by the proposed method and it can be used to anticipate probable congestion in communication and transportation networks. Stochastic networks,unstable networks,stochastic shortest path,discrete time Markov chain https://jmm.guilan.ac.ir/article_103.html https://jmm.guilan.ac.ir/article_103_ec9db26b80f3fa1d1ffa4b8dc1fc6dd9.pdf
University of Guilan Journal of Mathematical Modeling 2345-394X 2382-9869 2 1 2014 05 01 Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations 90 106 EN Mehdi Bastani bastani.mehdi@yahoo.com In this paper, the multistage variational iteration method is implemented to solve a general form of the system of first-order differential equations. The convergence of the proposed method is given. To illustrate the proposed method, it is applied to a model for HIV infection of CD4+ T cells and the numerical results are compared with those of a recently proposed method. Multistage variational iteration method,Convergence,HIV infection of CD4+ T cells,Adomian decomposition method https://jmm.guilan.ac.ir/article_104.html https://jmm.guilan.ac.ir/article_104_f77d0661b0b207e3d5c44d996f4086fd.pdf