求解一维非线性扩散Fisher方程  

Solving 1-D Nonlinear Diffusion Fisher Equation

作　　者：王艳石[1] 郭丽华[1] 么焕民[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2010年第4期71-73,共3页Natural Science Journal of Harbin Normal University

基　　金：哈尔滨师范大学博士启动基金资助项目(KGB200901)

摘　　要：在再生核空间W[D]中研究一维非线性扩散Fisher方程的数值逼近方法,给出了此方程的精确解的级数表达式,并证明了其近似解一致收敛到精确解.数值算例充分验证了算法的有效性.In this paper,an approximation method for solving 1-D nonlinear diffusion Fisher equation in the reproducing kernel space W[D] is obtained.The representation of exact solution is given in the form of series.It is proved that the numerical solution is uniformly convergent to the exact one.Numerical result demonstrates that the method is feasible.

关 键 词：非线性扩散Fisher方程 再生核 精确解 

分 类 号：O175.2[理学—数学]