TWO IMPROVED ALGORITHMS AND IMPLEMENTATION FOR A SINGULARLY PERTURBED PROBLEM ON MOVING MESHES  

作　　者：Qin ZHOU Yanping CHEN Yin YANG 

机构地区：[1] School of Mathematics, Hunan International Economics University, Changsha 410205, China [2] School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China [3] School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

出　　处：《Journal of Systems Science & Complexity》2011年第6期1232-1240,共9页系统科学与复杂性学报（英文版）

基　　金：This work is supported by the Foundation for Talent Introduction of Guangdong Provincial University, Guang- dong Province Universities and Colleges Pearl River Scholar Funded Scheme （2008）, and the National Natural Science Foundation of China under Grant No. 10971074.

摘　　要：This paper applies a difference scheme to a singularly perturbed problem. The authors provide two algorithms on moving mesh methods by using Richardson extrapolation which can improve the accuracy of numerical solution. In traditional algorithms of moving meshes, the initial mesh is a uniform mesh. The authors change it to Bakhvalov-Shishkin mesh, and prove that it improves efficiency by numerical experiments. Finally, the results of the two algorithms are analyzed.

关 键 词：ALGORITHM equidistribution principle moving mesh method Richardson extrapolation singularly perturbed problem. 

分 类 号：O175.14[理学—数学] TK730.3[理学—基础数学]