摘要
本文对色散方程u_t=au_(xxx)构造了一类高稳定性的、在中间层涉及四个网格点的三层显式差分格式,其局部截断误差为O(τ+h),其稳定条件为|R|=|α|τ/h^3≤0.25至|R|≤10,它们较大地改善了同类格式的稳定条件|R|≤0.25.
A class of three-level explicit difference shcemes for the dispersive equation ut= au are established. These schemes have higher stability and involve four mesh points at the middle level. Their local, truncation errors are 0(r+h) and stability conditions are from |R|<0.25 to |R|<10, where R = ar/h3, which is much better than |R|<0.25.
出处
《应用数学和力学》
CSCD
北大核心
1993年第3期219-223,共5页
Applied Mathematics and Mechanics
关键词
色散方程
差分格式
dispersive equation, four-point explicit difference scheme, higher stability
