高维抛物型方程的加耗散项差分格式

Difference Schemes with the Addition of Dissipation Term for Solving Parabolic Equation in Multi-dimension

本文利用加耗散项的方法,建立了高维抛物型方程的若干恒稳的三层显式差分格式,推广了文[1]的结果.并用数值例子表明这些格式是有效的.

By using the addition of dissipation term, the author establishes some three-layer explicit difference schemes for solving parabolic equation in multi-dimension, these schemes are absolutely stable , which extend the results of paper [1] .They are shown by numerical examples to be effective .