مرور Computational Methods for Differential Equations بر اساس تاریخ انتشار
در حال نمایش موارد 1 - 20 از 448
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Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
(University of Tabriz, 2013-07-01)In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate ...
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Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation
(University of Tabriz, 2013-07-01)In this paper, the Chebyshev spectral collocation method(CSCM) for one-dimensional linear hyperbolic telegraph equation is presented. Chebyshev spectral collocation method have become very useful in providing highly accurate ...
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A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients
(University of Tabriz, 2013-07-01)This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth ...
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Solitary Wave solutions of the BK equation and ALWW system by using the first integral method
(University of Tabriz, 2013-10-01)Solitary wave solutions to the Broer-Kaup equations and approximate long water wave equations are considered challenging by using the rst integral method.The exact solutions obtained during the present investigation are ...
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Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials
(University of Tabriz, 2013-10-01)In this paper, we introduce hybrid of block-pulse functions and Bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general ...
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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
(University of Tabriz, 2013-10-01)In this paper we introduce a type of fractional-order polynomials based on the classical Chebyshev polynomials of the second kind (FCSs). Also we construct the operational matrix of fractional derivative of order $ gamma ...
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Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations
(University of Tabriz, 2013-10-01)In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed ...
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Solving The Stefan Problem with Kinetics
(University of Tabriz, 2014-01-01)We introduce and discuss the Homotopy perturbation method, the Adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. Then, we give an example of the stefan problem ...
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Exact travelling wave solutions for some complex nonlinear partial differential equations
(University of Tabriz, 2014-01-01)This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The ...
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European option pricing of fractional Black-Scholes model with new Lagrange multipliers
(University of Tabriz, 2014-01-01)In this paper, a new identification of the Lagrange multipliers by means of the Sumudu transform, is employed to btain a quick and accurate solution to the fractional Black-Scholes equation with the initial condition for ...
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Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems
(University of Tabriz, 2014-01-01)In this paper, inverse Laplace transform method is applied to analytical solution of the fractional Sturm-Liouville problems. The method introduces a powerful tool for solving the eigenvalues of the fractional Sturm-Liouville ...
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Asymptotic distributions of Neumann problem for Sturm-Liouville equation
(University of Tabriz, 2014-01-01)In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type ...
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Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
(University of Tabriz, 2014-04-01)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 ...
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A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
(University of Tabriz, 2014-04-01)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 ...
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Analytical solutions for the fractional Klein-Gordon equation
(University of Tabriz, 2014-04-01)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, ...
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The Legendre Wavelet Method for Solving Singular Integro-differential Equations
(University of Tabriz, 2014-04-01)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 ...
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New study to construct new solitary wave solutions for generalized sinh- Gordon equation
(University of Tabriz, 2014-04-01)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 ...
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Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
(University of Tabriz, 2014-04-01)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 ...
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A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
(University of Tabriz, 2014-07-01)In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic ...
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Numerical solution for boundary value problem of fractional order with approximate Integral and derivative
(University of Tabriz, 2014-07-01)Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper ...



