文献类型：期刊文献

英文题名：An improvement for Chebyshev collocation method in solving certain Sturm-Liouville problems

作者：Yuan, Quan[1];He, Zhiqing;Leng, Huinan

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2008

卷号：195

期号：2

起止页码：440

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20080111004071);WOS:【SCI-EXPANDED(收录号:WOS:000253173800010)】；

语种：英文

外文关键词：Chebyshev collocation method; Sturm-Liouville problem; generalized matrix eigenvalue problem

摘要：In this paper, the Chebyshev collocation method with an improved step for computing the approximate eigenvalues of regular Sturm-Liouville problems is proposed. The method is investigated for applying to the Sturm-Liouville problems with two points and (semi-)periodic boundary conditions. The new step simplifies the computation by solving a generalized matrix eigenvalue problem instead of solving a high order algebraic equation required by the original method and thus more accurate results can be achieved. The numerical results are encouraging. (c) 2007 Elsevier Inc. All rights reserved.