B-spline solution of a singularly perturbed boundary value problem arising in biology

作     者：Lin, Bin Li, Kaitai Cheng, Zhengxing 

作者机构：Xi An Jiao Tong Univ Coll Sci Xian 710049 Peoples R China 

出 版 物：《CHAOS SOLITONS & FRACTALS》 (浑沌，孤立子与分形)

年 卷 期：2009年第42卷第5期

页      面：2934-2948页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：Natural Science Foundation of China [10771167  10571142] 

主　　题：BOUNDARY value problems -- Numerical solutions SPLINE theory PERTURBATION (Mathematics) BIOLOGICAL mathematical modeling SINGULARITIES (Mathematics) LINEAR systems COLLOCATION methods FUNCTIONS (Mathematics) 

摘      要：We use B-spline functions to develop a numerical method for solving a singularly perturbed boundary value problem associated with biology science. We use B-spline collocation method, which leads to a tridiagonal linear system. The accuracy of the proposed method is demonstrated by test problems. The numerical result is found in good agreement with exact solution. (C) 2009 Elsevier Ltd. All rights reserved.