ON THE CONSTRUCTION OF APPROXIMATE SOLUTIONS FOR A MULTIDIMENSIONAL NONLINEAR HEAT-EQUATION

Authors
EULER M EULER N KOHLER A
Citation
M. Euler et al., ON THE CONSTRUCTION OF APPROXIMATE SOLUTIONS FOR A MULTIDIMENSIONAL NONLINEAR HEAT-EQUATION, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 2083-2092
Citations number
13
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
6
Year of publication
1994
Pages
2083 - 2092
Database
ISI
SICI code
0305-4470(1994)27:6<2083:OTCOAS>2.0.ZU;2-X
Abstract
We study three methods, based on continuous symmetries, to find approx imate solutions for the multidimensional nonlinear heat equation parti al derivate u/partial derivate x0 + DELTAu = au(n) + epsilonf(u), wher e a and n are arbitrary real constants, f is a smooth function, and 0 < epsilon much less than 1.