非齐次热传导方程的隐式差分方法(Ⅱ)

IMPLICIT FINITE DIFFERENCE METHOD FOR INHOMGONEOUS HEAT CONDUCTION EQUATION

本文提出了一种数值求解非齐次热传导方程的两层三节点隐式差分方法.所得格式的精度依次为O(k+h^2)、O(k^2+h^2+kh^2)和O(k^2+kh^2+h^4),且均为无条件稳定,用于数值算例.检验了文中格式的性态.

Three new two--level implicit finite difference methods with exceilent stability are developed for inhomgoneousheat conduction equation in this paper. Results are included for the O(k + h^2), O(k^2 + kh^2+ h2 ) and O(k^2+kh^2+h^4)methods. Nu-merical example is given to illustrate behavior of the present method.