THE NUMERICAL SOLUTION FOR A PARTIAL INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL  

作　　者：Yu Zongshan Zeng Youdong (College of Math, and Computer Science, Fuzhou University, Fuzhou 350002) 

出　　处：《Annals of Differential Equations》2006年第3期418-422,共5页微分方程年刊（英文版）

基　　金：Supported by the Natural Science Foundation of Fujian Province (2001J009, Z0511015).

摘　　要：In this paper, a first order semi-discrete method of a partial integro-differential equation with a weakly singular kernel is considered. We apply Galerkin spectral method in one direction, and the inversion technique for the Laplace transform in another direction, the result of the numerical experiment proves the accuracy of this method.In this paper, a first order semi-discrete method of a partial integro-differential equation with a weakly singular kernel is considered. We apply Galerkin spectral method in one direction, and the inversion technique for the Laplace transform in another direction, the result of the numerical experiment proves the accuracy of this method.

关 键 词：Laplace transform Galerkin spectral method weakly singular kernel Legendre polynomial 

分 类 号：O175.2[理学—数学]