摘要
基于发展的三次样条四阶差分公式，提出了两种数值求解含源汇扩散反应方程的二层三结点高精度差分格式．格式推导过程简便，精度在时间和空间方向上分别达到二阶和四阶，且均为无条件稳定的．
Based on cubicspline difference formula developed by the author, two new twolevel highorder accurate finitedifference schemes using three spatial grid points are presented in this paper for solving the diffusionreaction equation with source term. The schemes are unconditionally stable and have high accuracy of two order in time and four order in space. Numerical example are given to illustreat behavior of the present schemes.
出处
《湖北大学学报（自然科学版）》
CAS
1997年第2期111-115,共5页
Journal of Hubei University：Natural Science
基金
宁夏回族自治区教委科研基金
关键词
扩散反应方程
三次样条
差分格式
高精度
Diffusionreaction equation
Cubicspline
Finitedifference schenme
Higher order accuracy
