Numerical solution of time fractional Burgers equation


Esen A., Tasbozan O.

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, vol.7, no.2, pp.167-185, 2015 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 7 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1515/ausm-2015-0011
  • Journal Name: ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.167-185
  • Keywords: finite element method, Galerkin method, time fractional Burgers equation, quadratic B-spline, DIFFERENTIAL-EQUATIONS, DIFFUSION
  • Inonu University Affiliated: Yes

Abstract

In this article, the time fractional order Burgers equation has been solved by quadratic B-spline Galerkin method. This method has been applied to three model problems. The obtained numerical solutions and error norms L-2 and L-infinity have been presented in tables. Absolute error graphics as well as those of exact and numerical solutions have been given.