求解高维扩散方程的一种恒稳定的半显式差分格式

An unconditionally stable semi-explicit difference scheme for the high-dimensional diffusion equation

提出了数值求解二维和三维扩散方程的一种半显式差分格式,其截断误差为O(τ2+h2),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.

A semi - explicit difference scheme is proposed for numerically solving two - and three - dimensional diffusion equation. The method is unconditionally stable and the truncation errors are O （τ^2 ＋ h^2）. The numerical experiments prove the accuracy and reliability of present method.