The exponential cubic B-spline algorithm for Fisher equation

被引:40
作者
Dag, Idiris [1 ]
Ersoy, Ozlem [1 ]
机构
[1] Eskisehir Osmangazi Univ, Dept Math Comp, Fac Sci & Art, Eskisehir, Turkey
关键词
Collocation methods; Exponential cubic B-spline; Fisher's equation; NUMERICAL-SOLUTION; WAVE;
D O I
10.1016/j.chaos.2016.02.031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, exponential B-spline collocation method is set up for solving Fisher's equation. Integration of Fisher's equation is managed by use of the exponential cubic B-spline in space and the Crank-Nicolson method in time. The effect of reaction and diffusion is observed by studying three test problems. A comparison is performed between the obtained numerical results and some earlier results using Loo and relative error norms. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:101 / 106
页数:6
相关论文
共 19 条
[1]  
ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380
[2]   Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method [J].
Dag, I. ;
Ersoy, O. .
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[3]  
Dag I., 2015, ADV STUD CONT MATH, V25, P525
[4]   Numerical Investigation of the Solution of Fisher's Equation via the B-Spline Galerkin Method [J].
Dag, Idris ;
Sahin, Ali ;
Korkmaz, Alper .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (06) :1483-1503
[5]  
Ersoy O., 2015, Advances in Numerical Analysis, V2015, P1, DOI [10.1155/2015/367056, DOI 10.1155/2015/367056]
[6]   The wave of advance of advantageous genes [J].
Fisher, RA .
ANNALS OF EUGENICS, 1937, 7 :355-369
[7]   THEORY OF EXPONENTIAL SPLINES [J].
MCCARTIN, BJ .
JOURNAL OF APPROXIMATION THEORY, 1991, 66 (01) :1-23
[8]   Efficient numerical solution of Fisher's equation by using B-spline method [J].
Mittal, R. C. ;
Arora, Geeta .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (13) :3039-3051
[9]   Numerical solutions of nonlinear Fisher's reaction–diffusion equation with modified cubic B-spline collocation method [J].
Mittal R.C. ;
Jain R.K. .
Mathematical Sciences, 2013, 7 (1)
[10]   Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation [J].
Mohammadi, Reza .
CHINESE PHYSICS B, 2015, 24 (05)