A numerical solution to fractional diffusion equation for force-free case

Tasbozan O., ESEN A., YAĞMURLU N. M., UÇAR Y.

Abstract and Applied Analysis, vol.2013, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/187383
  • Journal Name: Abstract and Applied Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hatay Mustafa Kemal University Affiliated: No

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. © 2013 O. Tasbozan et al.