Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction-diffusion equation systems
COMPUTATIONAL & APPLIED MATHEMATICS, vol.37, no.5, pp.6848-6869, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 37 Issue: 5
- Publication Date: 2018
- Doi Number: 10.1007/s40314-018-0713-4
- Journal Name: COMPUTATIONAL & APPLIED MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.6848-6869
- Keywords: Finite-element method, Collocation, B-spline, Reaction-diffusion
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
An algorithm for the reaction-diffusion system including model problems Brusselator, Schnakenberg and Gray-Scott is introduced. The integration of the system is managed by combining the Crank-Nicolson method in time and the cubic trigonometric B-spline collocation method in space. Our aim here is to provide a new code to understand and implement reaction-diffusion-type events. Some problems chosen from the literature to illustrate the efficiency of the algorithm are studied for each model problem.