Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

ERSOY HEPSON Ö., Dag İ.

OPEN PHYSICS, vol.13, no.1, pp.414-427, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1515/phys-2015-0047
  • Journal Name: OPEN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.414-427
  • Keywords: finite element method, collocation method, reaction-diffusion equations, exponential cubic B-spline, nonlinear differential equation
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion system turns into an iterative banded algebraic matrix equation. Solution of the matrix equation is carried out byway of Thomas algorithm. The present methods test on both linear and nonlinear problems. The results are documented to compare with some earlier studies by use of L-infinity and relative error norm for problems respectively.