摘要
将Padé逼近方法、Richardson外推技巧、两重网格算法与紧致差分方法相结合,对线性对流扩散问题构造了一种新的高阶紧致差分格式,给出了格式的实现过程和误差估计,分析了稳定性。最后给出数值算例说明算法的有效性。
A compact difference scheme is constructed by means of the Padé approximation method,Richardson extrapolation technique and two-grid algorithm combined with a compact finite difference scheme for linear convection-diffusion problems.Realization of the scheme,analysis of stability and error estimated are presented.Finally,numerical examples are presented to clarify the method.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2011年第12期39-43,共5页
Journal of Shandong University(Natural Science)
基金
新疆维吾尔自治区自然科学基金资助项目(2010211B12)