ORIGINAL_ARTICLE Equidistribution grids for two-parameter convection–diffusion boundary-value problems 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. https://jmm.guilan.ac.ir/article_99_ca31ca0c8015b811d31bbe40790bfbac.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 1 21 Two parameter singular perturbation problems discontinuous coeffi AMS Subject Classification : Keywords cient boundary and interior layers finite difference methods adaptive grids Jugal Mohapatra jugal@nitrkl.ac.in true 1 LEAD_AUTHOR
ORIGINAL_ARTICLE Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations 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. https://jmm.guilan.ac.ir/article_100_cb34c32248c989022a1ac152a9f3d759.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 22 40 Laplace transform partial differential equation new homotopy pertur bation method fractional Hossein Aminikhah hossein.aminikhah@gmail.com true 1 LEAD_AUTHOR Amir Hossein Refahi Sheikhani ah_refahi@yahoo.com true 2 AUTHOR Hadi Rezazadeh rezazadehadi1363@gmail.com true 3 AUTHOR
ORIGINAL_ARTICLE A numerical algorithm for solving a class of matrix equations 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. https://jmm.guilan.ac.ir/article_101_05bf065d7f2c614aff5cbc6474f5028e.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 41 54 aussian elimination Kronecker product matrix equation Huamin Zhang zhangeasymail@126.com true 1 AUTHOR Hongcai Yin hongcaiyin@sina.com true 2 AUTHOR Rui Ding rding12@126.com true 3 LEAD_AUTHOR
ORIGINAL_ARTICLE Basic results on distributed order fractional hybrid differential equations with linear perturbations 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 https://jmm.guilan.ac.ir/article_102_b82e26b4e06c58afab2f6423d030cb3c.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 55 73 Fractional hybrid differential equations distributed order extremal solutions Banach algebra Hossein Noroozi hono1458@yahoo.com true 1 AUTHOR Alireza Ansari alireza_1038@yahoo.com true 2 LEAD_AUTHOR
ORIGINAL_ARTICLE Arrival probability in the stochastic networks with an established discrete time Markov chain 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 probablecongestion in communication and transportation networks. https://jmm.guilan.ac.ir/article_103_ec9db26b80f3fa1d1ffa4b8dc1fc6dd9.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 74 89 Stochastic networks unstable networks stochastic shortest path discrete time Markov chain Gholam Hassan Shirdel shirdel81math@gmail.com true 1 LEAD_AUTHOR Mohsen Abdolhosseinzadeh a_m_stu@yahoo.com true 2 AUTHOR
ORIGINAL_ARTICLE Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations 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. https://jmm.guilan.ac.ir/article_104_f77d0661b0b207e3d5c44d996f4086fd.pdf 2014-05-01T11:23:20 2019-06-25T11:23:20 90 106 Multistage variational iteration method Convergence HIV infection of CD4+ T cells Adomian decomposition method Mehdi Bastani bastani.mehdi@yahoo.com true 1 LEAD_AUTHOR