一类时滞抛物型偏微分方程的数值稳定性分析

Stability Analysis for a Kind of Delay Parabolic Partial Differential Equation

研究了一类时滞的抛物型偏微分方程初边值问题,利用离散技巧,提出了一种数值方法,然后在一定插值技术下分析了算法的稳定性。得到此算法关于系统的初值稳定性的条件,进一步证明了在初值稳定时此算法关于右端还是稳定的。并通过算例说明了算法的可行性。

A kind of delay parabolic partial differential equation is studied.A numerical method is proposed by discrete skill.The numerical stability for this kind of delay parabolic partial differential is analyzed by interpolation method.A condition of numerical stability for this system about initial value is got.And the right numerical stability of the system is proved.It shows that the feasibility of numerical method can be proven by example.