关键词: FisherKolmogorov方程, CrankNicolson差分格式, 非线性问题, 线性化

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