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

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2006,（3）
• 页码范围: 418-422
• 页数: 5页
• 分类号: O17

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.