The exponential cubic B-spline algorithm for Fisher equation

DAĞ İ., ERSOY HEPSON Ö.

CHAOS SOLITONS & FRACTALS, vol.86, pp.101-106, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86
  • Publication Date: 2016
  • Doi Number: 10.1016/j.chaos.2016.02.031
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.101-106
  • Keywords: Collocation methods, Exponential cubic B-spline, Fisher's equation, NUMERICAL-SOLUTION, WAVE
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this study, exponential B-spline collocation method is set up for solving Fisher's equation. Integration of Fisher's equation is managed by use of the exponential cubic B-spline in space and the Crank-Nicolson method in time. The effect of reaction and diffusion is observed by studying three test problems. A comparison is performed between the obtained numerical results and some earlier results using Loo and relative error norms. (C) 2016 Elsevier Ltd. All rights reserved.