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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 187383, 6 pages
http://dx.doi.org/10.1155/2013/187383
Research Article

A Numerical Solution to Fractional Diffusion Equation for Force-Free Case

Department of Mathematics, Faculty of Art and Sciences, Inonu University, 44280 Malatya, Turkey

Received 8 February 2013; Accepted 27 April 2013

Academic Editor: Mustafa Bayram

Copyright © 2013 O. Tasbozan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.