Open AccessApproximate symmetry reduction for initial-value problem of perturbed diffusion equations
Author(s) -
Jina Li,
Zhu Xiao-Ning,
Cheng Li-Fang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.020201
Subject(s) - initial value problem , ordinary differential equation , symmetry (geometry) , reduction (mathematics) , separable partial differential equation , partial differential equation , numerical partial differential equations , mathematical analysis , mathematics , cauchy problem , differential equation , independent equation , physics , differential algebraic equation , geometry
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.