高维抛物型方程差分格式的稳定性

The Stability of Difference Schemes of a Higher Dimensional Parabolic Equation

本文提出了一个改进抛物型方程差分格式稳定性条件的新方法,给出并证明新方法稳定的充要条件,数值例子显示了本方法的计算优越性.

This paper proposes a new method to improve the stability condition of difference schemes of a parabolic equation. Necessary and sufficient conditions of the stability of this new method are given and proved. Some numerical examples show that this method has some calculation advantages.