2021-09-19T02:40:42Z
https://jmm.guilan.ac.ir/?_action=export&rf=summon&issue=29
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
Equidistribution grids for two-parameter convectionâ€“diffusion boundary-value problems
Jugal
Mohapatra
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
2014
05
01
1
21
https://jmm.guilan.ac.ir/article_99_ca31ca0c8015b811d31bbe40790bfbac.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations
Hossein
Aminikhah
Amir Hossein
Refahi Sheikhani
Hadi
Rezazadeh
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
2014
05
01
22
40
https://jmm.guilan.ac.ir/article_100_cb34c32248c989022a1ac152a9f3d759.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
A numerical algorithm for solving a class of matrix equations
Huamin
Zhang
Hongcai
Yin
Rui
Ding
In this paper, we present a numerical algorithm for solving matrix equations $(A \otimes B)X = F$Â 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
2014
05
01
41
54
https://jmm.guilan.ac.ir/article_101_05bf065d7f2c614aff5cbc6474f5028e.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
Basic results on distributed order fractional hybrid differential equations with linear perturbations
Hossein
Noroozi
Alireza
Ansari
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
2014
05
01
55
73
https://jmm.guilan.ac.ir/article_102_b82e26b4e06c58afab2f6423d030cb3c.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
Arrival probability in the stochastic networks with an established discrete time Markov chain
Gholam Hassan
Shirdel
Mohsen
Abdolhosseinzadeh
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
2014
05
01
74
89
https://jmm.guilan.ac.ir/article_103_ec9db26b80f3fa1d1ffa4b8dc1fc6dd9.pdf
Journal of Mathematical Modeling
J. Math. Model.
2345-394X
2345-394X
2014
2
1
Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations
Mehdi
Bastani
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
2014
05
01
90
106
https://jmm.guilan.ac.ir/article_104_f77d0661b0b207e3d5c44d996f4086fd.pdf