求解二维扩散方程的一种恒稳定的半显式高精度差分格式

摘要

A semi-explicit high-order difference scheme is proposed for two-dimensional diffusion equation, which is unconditionally stable and of O(τ~2+~4). The following numerical experiments prove its accuracy and reliability.%提出了数值求解二维扩散方程的一种半显式高精度差分格式,其截断误差为D(τ+h~2),并且是无条件稳定的.数值算例验证了方法的精确性和可靠性.