University of TabrizComputational Methods for Differential Equations2345-39822220140401The Legendre Wavelet Method for Solving Singular Integro-differential Equations62681684ENNaser AghazadehAzarbaijan Shahid Madani UniversityYasser Gholizade AtaniAzarbaijan
Shahid Madani UniversityParisa NorasAzarbaijan
Shahid Madani UniversityJournal Article20140316In 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401Exact solutions of the 2D Ginzburg-Landau equation by the first integral method69761888ENAhmet BekirEskisehir Osmangazi University, Art-Science Faculty,
Department of Mathematics-ComputerAbdelfattah El AchabUniversity of Choua¨ıb DoukkaliJournal Article20140708The 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401New study to construct new solitary wave solutions for generalized sinh- Gordon equation77821889ENAhmad NeiramehGonbad Kavous UniversitySaeed ShokoohGonbad Kavous UniversityJournal Article20140625In 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401The extended homogeneous balance method and exact solutions of the Maccari system83901890ENMohammad MirzazadehDepartment of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranJournal Article20140510The 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws91982389ENMohammad Mehdizadeh KhalsaraeiUniversity of MaraghehF. KhodadostiUniversity of Maragheh0000-0003-4315-3907Journal Article20140720In 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401Analytical solutions for the fractional Klein-Gordon equation991142497ENHosseni KheiriUniversity of TabrizSamane ShahiUniversity of TabrizAida MojaverUniversity of TabrizJournal Article20141009In 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.University of TabrizComputational Methods for Differential Equations2345-39822220140401Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation1151222390ENMostafa EslamiUniversity of Mazandaran, IranJournal Article20140630The 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.