The Legendre Wavelet Method for Solving Singular Integro-differential Equations
Naser
Aghazadeh
Azarbaijan Shahid Madani University
author
Yasser
Gholizade Atani
Azarbaijan
Shahid Madani University
author
Parisa
Noras
Azarbaijan
Shahid Madani University
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
62
68
http://cmde.tabrizu.ac.ir/article_1684_8e7ffce39655216dddcfcee75de575d1.pdf
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
Ahmet
Bekir
Eskisehir Osmangazi University, Art-Science Faculty,
Department of Mathematics-Computer
author
Abdelfattah
El Achab
University of Choua¨ıb Doukkali
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
69
76
http://cmde.tabrizu.ac.ir/article_1888_ae6174f1516ae4870160a055be8df5de.pdf
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
Ahmad
Neirameh
Gonbad Kavous University
author
Saeed
Shokooh
Gonbad Kavous University
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
77
82
http://cmde.tabrizu.ac.ir/article_1889_51dcd9268fe386fe8f6c2ba01565a822.pdf
The extended homogeneous balance method and exact solutions of the Maccari system
Mohammad
Mirzazadeh
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
83
90
http://cmde.tabrizu.ac.ir/article_1890_9b1a45799a08eefd34fd63ea5532dcd6.pdf
A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
Mohammad
Mehdizadeh Khalsaraei
University of Maragheh
author
F.
Khodadosti
University of Maragheh
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
91
98
http://cmde.tabrizu.ac.ir/article_2389_287b8f7baa7e4c82cd846d99277a21c6.pdf
Analytical solutions for the fractional Klein-Gordon equation
Hosseni
Kheiri
University of Tabriz
author
Samane
Shahi
University of Tabriz
author
Aida
Mojaver
University of Tabriz
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
99
114
http://cmde.tabrizu.ac.ir/article_2497_7dd788eed92aa45961fd50bea239e6ee.pdf
Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
Mostafa
Eslami
University of Mazandaran, Iran
author
text
article
2014
eng
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.
Computational Methods for Differential Equations
University of Tabriz
2345-3982
2
v.
2
no.
2014
115
122
http://cmde.tabrizu.ac.ir/article_2390_058bb0778cbfad9728f30dee61ea807a.pdf