2018-05-23T05:56:09Z
http://cmde.tabrizu.ac.ir/?_action=export&rf=summon&issue=281
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
The Legendre Wavelet Method for Solving Singular Integro-differential Equations
Naser
Aghazadeh
Yasser
Gholizade Atani
Parisa
Noras
In this paper, we present Legendre wavelet method to obtain numerical solution of a singular integro-differential equation. The singularity is assumed to be of the Cauchy type. The numerical results obtained by the present method compare favorably with those obtained by various Galerkin methods earlier in the literature.
Legendre wavelet
Singular integro-differential equation
Cauchy type
2014
04
01
62
68
http://cmde.tabrizu.ac.ir/article_1684_8e7ffce39655216dddcfcee75de575d1.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
Ahmet
Bekir
Abdelfattah
El Achab
The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.
exact solutions
First integral method
2D Ginzburg-Landau equation
2014
04
01
69
76
http://cmde.tabrizu.ac.ir/article_1888_ae6174f1516ae4870160a055be8df5de.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
Ahmad
Neirameh
Saeed
Shokooh
In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.
Solitary wave solution
Homogeneous balance method
generalized sine-Gordon equation
2014
04
01
77
82
http://cmde.tabrizu.ac.ir/article_1889_51dcd9268fe386fe8f6c2ba01565a822.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
The extended homogeneous balance method and exact solutions of the Maccari system
Mohammad
Mirzazadeh
The extended homogeneous balance method is used to construct exact traveling wave solutions of the Maccari system, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutions of the Maccari system equation are successfully obtained.
Extended homogeneous balance method
Maccari system
Riccati equation
Soliton-like solution
Periodic-like solution
2014
04
01
83
90
http://cmde.tabrizu.ac.ir/article_1890_9b1a45799a08eefd34fd63ea5532dcd6.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
Mohammad
Mehdizadeh Khalsaraei
F.
Khodadosti
In this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of TVD (total variation diminishing) of the solution, is proposed. This scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. Schemes preserving the essential physical property of TVD are of great importance in practice. Such schemes are free of spurious oscillations around discontinuities. Numerical results for Burger's equation is presented. Comparison of numerical results with a classical difference scheme is given.
Nonstandard finite difference scheme
Total variation diminishing
Conservation law
Nonlocal approximation
2014
04
01
91
98
http://cmde.tabrizu.ac.ir/article_2389_287b8f7baa7e4c82cd846d99277a21c6.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
Analytical solutions for the fractional Klein-Gordon equation
Hosseni
Kheiri
Samane
Shahi
Aida
Mojaver
In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.
Fractional Klein-Gordon equation
Mittag-Leffler
Method of separating variables
Caputo derivative
2014
04
01
99
114
http://cmde.tabrizu.ac.ir/article_2497_7dd788eed92aa45961fd50bea239e6ee.pdf
Computational Methods for Differential Equations
Comput. Methods Differ. Equ.
2345-3982
2345-3982
2014
2
2
Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
Mostafa
Eslami
The homogeneous balance method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this paper, this method is used to construct new soliton solutions of the (3+1) Jimbo--Miwa equation.
Homogeneous balance method
(3+1) Jimbo–Miwa equation
Solitary wave solutions
2014
04
01
115
122
http://cmde.tabrizu.ac.ir/article_2390_058bb0778cbfad9728f30dee61ea807a.pdf