关于差分格式稳定性色散分析的付氏方法

The Fourier Method for the Dispersion Analysis of the Finite Difference Scheme

本文应用色散分析的付氏方法讨论显式及隐式差分格式的稳定性,相容条件及其系数同模拟方程系数的关系。

In this paper, the Fourier method for the dispersion analysis of the explicit and implicit finite difference scheme are established. The stability and consistency and the relation between the coefficient of the amplication factor and the modified differential equation of the explicit and implicit finite difference scheme are discussed.