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

• Main Authors: Ersoy Ozlem, Dag Idris
• Format: Article
• Language: English
• Published: De Gruyter 2015-12-01
• Series: Open Physics
• Subjects: finite element method; collocation method; reaction-diffusion equations; exponential cubic B-spline; nonlinear differential equation
• Online Access: http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0047/phys-2015-0047.xml?format=INT
• ISSN: 2391-5471

The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion systemturns 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∞ and relative error norm for problems respectively.