MOL solvers for hyperbolic PDEs with source terms

Authors
Ahmad, I Berzins, M
Citation
I. Ahmad et M. Berzins, MOL solvers for hyperbolic PDEs with source terms, MATH COMP S, 56(2), 2001, pp. 115-125
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
56
Issue
2
Year of publication
2001
Pages
115 - 125
Database
ISI
SICI code
0378-4754(20010513)56:2<115:MSFHPW>2.0.ZU;2-2
Abstract
A method-of-lines solution algorithm for reacting how problems modelled by hyperbolic partial differential equations (PDEs) with stiff source terms is presented. Monotonicity preserving advection schemes are combined with spa ce/time error balancing and a Gauss-Seidel iteration to provide an efficien t solver. Numerical experiments on two challenging examples are presented t o illustrate the performance of the method. (C) 2001 Published by Elsevier Science B.V. on behalf of IMACS.