eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
62
68
1684
The Legendre Wavelet Method for Solving Singular Integro-differential Equations
Naser Aghazadeh
aghazadeh@azaruniv.ac.ir
1
Yasser Gholizade Atani
yasermat.2010@gmail.com
2
Parisa Noras
a@bc.com
3
Azarbaijan Shahid Madani University
Azarbaijan Shahid Madani University
Azarbaijan Shahid Madani University
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.
http://cmde.tabrizu.ac.ir/article_1684_8e7ffce39655216dddcfcee75de575d1.pdf
Legendre wavelet
Singular integro-differential equation
Cauchy type
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
69
76
1888
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
Ahmet Bekir
abekir@ogu.edu.tr
1
Abdelfattah El Achab
abdelfattahelachab@gmail.com
2
Eskisehir Osmangazi University, Art-Science Faculty,
Department of Mathematics-Computer
University of Choua¨ıb Doukkali
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.
http://cmde.tabrizu.ac.ir/article_1888_ae6174f1516ae4870160a055be8df5de.pdf
exact solutions
First integral method
2D Ginzburg-Landau equation
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
77
82
1889
New study to construct new solitary wave solutions for generalized sinh- Gordon equation
Ahmad Neirameh
a.neirameh@guilan.ac.ir
1
Saeed Shokooh
shokooh.sd@gmail.com
2
Gonbad Kavous University
Gonbad Kavous University
In this work, we successfully construct the new exact traveling wave solutions ofthe generalized Sinh–Gordon equation by new application of the homogeneousbalance method. The idea introduced in this paper can be applied to othernonlinear evolution equations.
http://cmde.tabrizu.ac.ir/article_1889_51dcd9268fe386fe8f6c2ba01565a822.pdf
Solitary wave solution
Homogeneous balance method
generalized sine-Gordon equation
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
83
90
1890
The extended homogeneous balance method and exact solutions of the Maccari system
Mohammad Mirzazadeh
mirzazadehs2@guilan.ac.ir
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
The extended homogeneous balance method is used to construct exacttraveling wave solutions of the Maccari system, in which thehomogeneous balance method is applied to solve the Riccati equationand the reduced nonlinear ordinary differential equation. Many exacttraveling wave solutions of the Maccari system equation aresuccessfully obtained.
http://cmde.tabrizu.ac.ir/article_1890_9b1a45799a08eefd34fd63ea5532dcd6.pdf
Extended homogeneous balance method
Maccari
system
Riccati equation
Soliton-like solution
Periodic-like
solution
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
91
98
2389
A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
Mohammad Mehdizadeh Khalsaraei
muhammad.mehdizadeh@gmail.com
1
F. Khodadosti
fayyaz64dr@gmail.com
2
University of Maragheh
University of Maragheh
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.
http://cmde.tabrizu.ac.ir/article_2389_287b8f7baa7e4c82cd846d99277a21c6.pdf
Nonstandard finite difference scheme
Total variation diminishing
Conservation law
Nonlocal approximation
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
99
114
2497
Analytical solutions for the fractional Klein-Gordon equation
Hosseni Kheiri
kheirihossein@yahoo.com
1
Samane Shahi
samanesh7@gmail.com
2
Aida Mojaver
aida_mojaver1987@yahoo.com
3
University of Tabriz
University of Tabriz
University of Tabriz
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.
http://cmde.tabrizu.ac.ir/article_2497_7dd788eed92aa45961fd50bea239e6ee.pdf
Fractional Klein-Gordon equation
Mittag-Leffler
Method of separating variables
Caputo derivative
eng
University of Tabriz
Computational Methods for Differential Equations
2345-3982
2383-2533
2014-04-01
2
2
115
122
2390
Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
Mostafa Eslami
mostafa.eslami@umz.ac.ir
1
University of Mazandaran, Iran
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 newsoliton solutions of the (3+1) Jimbo--Miwa equation.
http://cmde.tabrizu.ac.ir/article_2390_058bb0778cbfad9728f30dee61ea807a.pdf
Homogeneous balance method
(3+1) Jimbo–Miwa equation
Solitary wave solutions