对流扩散方程基于局部二次插值特征差分格式的稳定性分析

Stability Aalysis of the Characteristic Difference Scheme Based on the Local Quadratic interpolation of Convective\|diffusion Equation

对于一类基于局部二次插值的特征差分格式,利用冯·诺伊曼方法分析了差分格式的l2稳定性,得到了格式l2稳定的充分必要条件。

The characteristic difference scheme based upon the local quadratic interpolation is considered. Under no grid\|ratio condition, the equivalence condition of l2 stability is proven by using the von Neumann technique. Furthermore, an applicable upper bound of time step is presented.