VARIABLE-MESH DIFFERENCE SCHEME FOR SINGULARLY-PERTURBED BOUNDARY-VALUE-PROBLEMS USING SPLINES

Authors
KADALBAJOO MK BAWA RK
Citation
Mk. Kadalbajoo et Rk. Bawa, VARIABLE-MESH DIFFERENCE SCHEME FOR SINGULARLY-PERTURBED BOUNDARY-VALUE-PROBLEMS USING SPLINES, Journal of optimization theory and applications, 90(2), 1996, pp. 405-416
Citations number
6
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
90
Issue
2
Year of publication
1996
Pages
405 - 416
Database
ISI
SICI code
0022-3239(1996)90:2<405:VDSFSB>2.0.ZU;2-R
Abstract
A second-order variable-mesh difference scheme via cubic splines for s ingularly-perturbed boundary-value problems of the form y '' = rho(x)y ' + q(x)y + r(x), y(a) = alpha(0), y(b) = alpha(1) is presented. The c onvergence analysis is given and the method is shown to have quadratic convergence. Several test examples are solved to demonstrate the effi ciency of the method.