一类带弱奇异核偏积分微分方程空间半离散的Legendre-Galerkin谱方法

Spacial Semi-discrete Legendre-Galerkin Spectral Methods for A Partial Integro-differential Equation with A Weakly Singular Kernel

本文给出了数值求解一类偏积分微分方程的空间半离散Legendre-Galerkin谱方法;证明了解的稳定性及收敛性。

In this paper,spacial semi-discrete spectral method for a partial integro-differential equation is considered.We study Legendre-Galerkin method in space;Some results of stability and convergence is certified.