求解Fisher-Kolmogorov方程的两种有限差分方法

Abstract

Abstract:

We got the finite difference scheme for the FisherKolmogorov(FK) equation using CrankNicolson type. We proved the existence and uniqueness of the difference solution which is convergent with the oder O(τ²+h²). Then, a linearized difference scheme was presented, which simplifies the numerical experiment process for the solution with the same convergence maintained.

Key words: FisherKolmogorov equation, CrankNicolson difference scheme, nonlinear problem, linearization

CLC Number:

O241.82

LIU Bo, GUO Yingxin, LI Xinzhuo. Two Finite Difference Methods for SolvingFisher-Kolmogorov Equation[J].Journal of Jilin University Science Edition, 2014, 52(02): 159-168.

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Two Finite Difference Methods for SolvingFisher-Kolmogorov Equation

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