Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements

ESEN A., TAŞBOZAN O.

Mediterranean Journal of Mathematics, vol.13, no.3, pp.1325-1337, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s00009-015-0555-x
  • Journal Name: Mediterranean Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1325-1337
  • Keywords: 65D07, 65N30, 74S05, 97N40
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

We present some numerical examples which support numerical results for the time fractional Burgers equation with various boundary and initial conditions obtained by collocation method using cubic B-spline base functions. The aim of this paper is to show that the finite element method based on the cubic B-spline collocation method approach is also suitable for the treatment of the fractional differential equations. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.