Booster method for singularly-perturbed one-dimensional reaction-diffusionNeumann problems

Authors
Natesan, S Ramanujam, N
Citation
S. Natesan et N. Ramanujam, Booster method for singularly-perturbed one-dimensional reaction-diffusionNeumann problems, J OPTIM TH, 104(1), 2000, pp. 175-194
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
104
Issue
1
Year of publication
2000
Pages
175 - 194
Database
ISI
SICI code
0022-3239(200001)104:1<175:BMFSOR>2.0.ZU;2-W
Abstract
A numerical method for singularly-perturbed self-adjoint boundary-value pro blems for second-order ordinary differential equations subject to Neumann b oundary conditions is proposed. In this method (booster method), an asympto tic approximation is incorporated into a finite-difference scheme to improv e the numerical solution. Uniform error estimates are derived for this meth od when implemented in known difference schemes. Numerical examples are pre sented to illustrate the present method.