Open AccessApproximate functional variable separation for the porous medium equation with perturbed nonlinear source
Author(s) -
Fei-Yu Ji,
Shunli Zhang
Publication year - 2012
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.61.080202
Subject(s) - separable space , variable (mathematics) , nonlinear system , porous medium , separation of variables , mathematical analysis , separation (statistics) , functional equation , mathematics , physics , porosity , partial differential equation , materials science , quantum mechanics , statistics , composite material
The approximate functional variable separation for the porous medium equation with perturbed nonlinear source is studied. Complete classification of the perturbed equation which admits approximate functional separable solutions is obtained. The main solving procedure for the approximate functional variable separation approach is shown by way of examples, and the corresponding approximate functional separable solutions to the resulting equations are then constructed.