摘要
本文针对非齐次热传导方程提出了一种数值求解的两层三点隐式差分方法，所得格式精度分别达到Ｏ（Ｋ＋ｈ２）、Ｏ（Ｋ２＋ｋｈ２＋ｈ２）和Ｏ（Ｋ２＋ｋｈ２＋ｈ４），并通过数值算例进行了检验。
Three new two-level implicit finite difference methods with excellent stability are developed for inhomgoneous heat conduction equation in this paper. Results are included for theO(k+h2),O(k2+kh2+h2) and O(k2+kh2+h4) methods.Numerical example is given to illustrate behaviorof the present method.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1996年第1期13-16,共4页
Journal of Henan Normal University(Natural Science Edition)
基金
宁夏自治区教委自然科学基金
关键词
热传导方程
隐式差分方法
非齐次方程
heat conduction equation
implicit difference method
inhomgoneous equation
