A "Booster method" for singular perturbation problems arising in chemical reactor theory

Authors
Natesan, S Ramanujam, N
Citation
S. Natesan et N. Ramanujam, A "Booster method" for singular perturbation problems arising in chemical reactor theory, APPL MATH C, 100(1), 1999, pp. 27-48
Citations number
16
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
100
Issue
1
Year of publication
1999
Pages
27 - 48
Database
ISI
SICI code
0096-3003(199904)100:1<27:A"MFSP>2.0.ZU;2-6
Abstract
A numerical method for singularly perturbed two-point boundary-value proble ms (BVPs) for second-order ordinary differential equations (ODEs) arising i n chemical reactor theory is proposed. In this method, an asymptotic approx imation is incorporated into a suitable finite difference scheme to improve the numerical solution. Uniform error estimates are derived when implement ed in known difference schemes. Numerical results are presented in support of this claim. (C) 1999 Elsevier Science Inc. All rights reserved.