Application of Sinc-Galerkin Method for Solving Space-Fractional Boundary Value Problems-Reference-Cited by-同舟云学术

Application of Sinc-Galerkin Method for Solving Space-Fractional Boundary Value Problems

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Alkan Sertan¹^ORCID,Secer Aydin²^ORCID

Affiliation:

1. Department of Management Information Systems, Bartin University, 74100 Bartin, Turkey

2. Department of Mathematical Engineering, Yildiz Technical University, 34220 Istanbul, Turkey

Abstract

We employ the sinc-Galerkin method to obtain approximate solutions of space-fractional order partial differential equations (FPDEs) with variable coefficients. The fractional derivatives are used in the Caputo sense. The method is applied to three different problems and the obtained solutions are compared with the exact solutions of the problems. These comparisons demonstrate that the sinc-Galerkin method is a very efficient tool in solving space-fractional partial differential equations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2015/217348.pdf

Reference31 articles.

1. Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation

2. A generalized differential transform method for linear partial differential equations of fractional order

3. A finite difference method for fractional partial differential equation

4. Numerical solutions for fractional KdV–Burgers equation by Adomian decomposition method

5. Solving multi-term linear and non-linear diffusion–wave equations of fractional order by Adomian decomposition method

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