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Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction-diffusion equation systems.
- Source :
- Computational & Applied Mathematics; Nov2018, Vol. 37 Issue 5, p6848-6869, 22p
- Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01018205
- Volume :
- 37
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 133509336
- Full Text :
- https://doi.org/10.1007/s40314-018-0713-4