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

被引：32
|
作者：
Ersoy, Ozlem [1 ]
Dag, Idris [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Math Comp Dept, TR-26480 Eskisehir, Turkey
来源：
OPEN PHYSICS | 2015年 / 13卷 / 01期
关键词：
finite element method; collocation method; reaction-diffusion equations; exponential cubic B-spline; nonlinear differential equation;
D O I：
10.1515/phys-2015-0047
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：414 / 427
页数：14
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