非线性积分微分方程单支方法的稳定性分析

Stability Analysis of One-Leg Methods for Nonlinear Integro-Differential Equations

本文在单支θ-方法的数值稳定性基础上,进一步研究了利用数值方法中更为广泛的一类单支方法,救解D(α,β,γ)类非线性刚性积分微分方程的数值稳定性,得到的结果表明:在问题真解稳定的条件下,A-稳定的单支方法是数值稳定的.

This paper based on the stable numerical value of oneleg θ-methods, further probes another tind of oneleg methods using mumerical value more extensively to solve the problem class D（α,β,γ）of nonliuear stiff integrodiffereutial equations. It is proved that any A-stable one-leg methods can inherit the stability of the underlying problem.