一类带弱奇异核的偏积分微分方程的数值解

The Numerical Solution for a Partial Integro-differential Equation with a Weakly Singular Kernel

给出了数值求解一类偏微分方程的一种一阶全离散格式。x方向采用Galerkin谱方法,t方向用拉普拉斯的数值逆求解。该方法选择适当的n可以达到所需要的精度。

AIn this paper, a first order fidly discrete method of a partial integro - differential equation is con sidered. This article presents the Galerkin spectral method in the direction of x , but applies the inversion technique for the Laplace transfoml in the direction of t. We can get the precision we need with this method through a proper n.