PETROV-GALERKIN METHODS FOR SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS

Authors
WANG YM
Citation
Ym. Wang, PETROV-GALERKIN METHODS FOR SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS, Applied mathematics and computation, 96(2-3), 1998, pp. 209-236
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
96
Issue
2-3
Year of publication
1998
Pages
209 - 236
Database
ISI
SICI code
0096-3003(1998)96:2-3<209:PMFSON>2.0.ZU;2-6
Abstract
Petrov-Galerkin method is proposed for solving systems of nonlinear re action-diffusion equations. A. new concept of ordered pair of supersol ution and subsolution is introduced, and then the existence of numeric al solutions is studied. A new monotone iteration is provided for solv ing the resulting problem. The convergence of the Petrov-Galerkin sche me is discussed. The numerical results show the advantages of such met hod. (C) 1998 Elsevier Science Inc. All rights reserved.