物理学报2013，Vol.62Issue(2)：20-24,5.DOI:10.7498/aps.62.020201
扰动扩散方程初值问题的近似对称约化
Approximate symmetry reduction for initial-value problem of perturbed diffusion equations
摘要
Abstract
In this paper, the approximate symmetry reduction for the initial-value problem of perturbed diffusion equations with source term is studied by the approximate generalized conditional symmetry. The classification of governing equations is given, and the Cauchy problem of partial differential equations is reduced to initial-value problem of ordinary differential equations. Finally, the approximate solution is obtained by solving the reduced system of equations.关键词
扰动扩散方程/初值问题/近似广义条件对称Key words
perturbed diffusion equation/ initial-value problem/ approximate generalized conditional symmetry引用本文复制引用
李吉娜,朱晓宁,程利芳..扰动扩散方程初值问题的近似对称约化[J].物理学报,2013,62(2):20-24,5.基金项目
国家自然科学基金(批准号:11101332)和河南省自然科学基金(批准号:102300410275,122300410166)资助的课题. （批准号:11101332）
