摘要
用待定参数法构造了解一维抛物型方程的分支稳定的高精度显式差分格式 ,截断误差为O(△t4△x4) ,稳定性条件为r=α△t/△x2 <1 /2 .
This paper presents an explicit difference scheme with accuracy and branching stability for solving onedimensional parabolic type equation by the method of undetermined parameters and its truncation error is O(△t4+△x4). The stability condition is r=a△t/△x2<1/2.
基金
SupportbytheNaturalScienceFoundationofHenanEducationCommission(97110 0 0 7)
关键词
抛物型方程
显式差分格式
分支稳定
截断误差
parabolic type equation
explicit difference scheme
high accuracy
branching stability
truncation er
