期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2017
卷号：2017
期号：2
页码：9-17
DOI：10.5899/2017/jiasc-00119
出版社：ISPACS GmbH
摘要：In the present work, we study Fredholm integral equations of the second kind with Toeplitz, Hankel, and Toeplitz plus Hankel kernels. The weighted mean-value method is employed and extended to obtain numerical solutions for one-and multidimensional Fredholm integral equations of the second kind. By a successful application of this method, we first convert the integral equation into a system of algebraic equations, then solve this system and obtain promising results. Finally, numerical examples are provided to show the simplicity and applicability of the method.
关键词：Weighted mean value theorem; Multidimensional Fredholm integral equations; Toeplitz plus Hankel Kernels
