摘要
本文利用近似广义条件对称方法研究一类带有源项的非线性扩散方程的初值问题.给出所研究方程的分类并将偏微分方程的初值问题约化为常微分方程的初值问题,通过求解约化后的常微分方程组可得相对应偏微分方程初值问题的近似解.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2013年第2期20-24,共5页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11101332)
河南省自然科学基金(批准号:102300410275
122300410166)资助的课题~~
关键词
扰动扩散方程
初值问题
近似广义条件对称
perturbed diffusion equation, initial-value problem, approximate generalized conditional symmetry