文献类型：期刊文献

英文题名：Modifid Interpolatory Projection Method for Weakly Singular Integral Equation Eigenvalue Problems

作者：Zhang, Xin[1];He, Yun-hui[2]

通讯作者：Zhang, X[1]

机构：[1]Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China;[2]Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

第一机构：北京联合大学基础教学部

通讯机构：[1]corresponding author), Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2019

卷号：35

期号：2

起止页码：327-339

外文期刊名：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

收录：;Scopus(收录号：2-s2.0-85065663996);WOS:【SCI-EXPANDED(收录号:WOS:000467899800007)】；

基金：Supported by Scientific Research Project of Beijing Municipal Education Commission (No. KM201811417013, KM201711417002).

语种：英文

外文关键词：weakly singular; eigenvalue; compactness; modified interpolatory projection; norm approximation

摘要：This paper deals with eigenvalue problems for linear Fredholm integral equations of the second kind with weakly singular kernels. A new discrete method is proposed for the approximation of eigenvalues. Compactness of the integral operator in L-1[0, 1] space is obtained. This method is based on the approximation of the integral operator by modified interpolatory projection. Different from traditional methods, norm convergence of operator approximation is proved theoretically. Further, convergence of eigenvalue approximation is obtained by analytical tools. Numerical examples are presented to illustrate the theoretical results and the efficiency of the method.