A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains

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• 作者：Mohsen Esmaeilbeigi ; ^{m.esmaeilbeigi@malayeru.ac.ir} ; ^{esmaeelbeigi@yahoo.com} ; Farshid Mirzaee ^{f.mirzaee@malayeru.ac.ir} ; Davoud Moazami ^{dmoazami@yahoo.com}
• 关键词：Multidimensional integral equation ; Radial basis functions ; Collocation method ; Hypercube domains
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：236-246
• 全文大小：2357 K
• 卷排序：298

文摘

The main purpose of this article is to describe a numerical scheme for solving multidimensional linear Fredholm integral equations of the second kind on the hypercube domains. The method is based on interpolation by radial basis functions (RBFs) to approximate the solution of the linear Fredholm integral equations. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.