FKPP方程的近似解及分析

摘要

Fisher-Kolomogror-Pertrovskii-Piskmov equation is an important model in the physics, chemistry, biology and population dynamics. In this paper, variational iteration method was applied to derive the approximate solutions of Fisher-Kolomogror-Pertrovskii-Piskmov equation with Fick' s flux and the Cattaneo' s flux. The approximate solutions were simulated by Matlab. The influence of constants of diffusion coefficient and the relaxation time on approximate solutions was analyzed.%Fisher-Kolomogror-Pertrovskii-Piskmov方程(FKPP方程)是物理学、化学、生物学、人口动力学等学科中一个非常重要的数学模型.考虑含Fick通量、Cattaneo通量的FKPP方程,借助于变分迭代算法求得了方程的近似解,利用Matlab对所得近似解进行了模拟,分析了扩散系数和松弛时间对近似解精度的影响.