2014
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1
1
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Equidistribution grids for twoparameter convectionâ€“diffusion boundaryvalue problems
2
2
In this article, we propose an adaptive grid based on mesh equidistribution principle for twoparameter convectiondiffusion 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.
1

1
21


Jugal
Mohapatra
Iran
jugal@nitrkl.ac.in
Two
parameter singular perturbation problems
discontinuous coeffi
AMS Subject Classification : Keywords cient
boundary and interior layers
finite difference methods
adaptive grids
Exact and numerical solutions of linear and nonlinear systems of fractional partial differential equations
2
2
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.
1

22
40


Hossein
Aminikhah
Iran
hossein.aminikhah@gmail.com


Amir Hossein
Refahi Sheikhani
Iran
ah_refahi@yahoo.com


Hadi
Rezazadeh
Iran
rezazadehadi1363@gmail.com
Laplace transform
partial differential equation
new homotopy pertur
bation method
fractional
A numerical algorithm for solving a class of matrix equations
2
2
In this paper, we present a numerical algorithm for solving matrix equations $(A otimes B)X = F$Â by extending the wellknown 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.
1

41
54


Huamin
Zhang
Iran
zhangeasymail@126.com


Hongcai
Yin
Iran
hongcaiyin@sina.com


Rui
Ding
Iran
rding12@126.com
aussian elimination
Kronecker product
matrix equation
Basic results on distributed order fractional hybrid differential equations with linear perturbations
2
2
In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional RiemannLiouville 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
1

55
73


Hossein
Noroozi
Iran
hono1458@yahoo.com


Alireza
Ansari
Iran
alireza_1038@yahoo.com
Fractional hybrid differential equations
distributed order
extremal solutions
Banach algebra
Arrival probability in the stochastic networks with an established discrete time Markov chain
2
2
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.
1

74
89


Gholam Hassan
Shirdel
Iran
shirdel81math@gmail.com


Mohsen
Abdolhosseinzadeh
Iran
a_m_stu@yahoo.com
Stochastic networks
unstable networks
stochastic shortest path
discrete time Markov chain
Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations
2
2
In this paper, the multistage variational iteration method is implemented to solve a general form of the system of firstorder 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.
1

90
106


Mehdi
Bastani
Iran
bastani.mehdi@yahoo.com
Multistage variational iteration method
convergence
HIV infection of CD4+ T cells
Adomian decomposition method