3RD-ORDER VARIABLE-MESH CUBIC SPLINE METHODS FOR NONLINEAR 2-POINT SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS

Authors
KADALBAJOO MK BAWA RK
Citation
Mk. Kadalbajoo et Rk. Bawa, 3RD-ORDER VARIABLE-MESH CUBIC SPLINE METHODS FOR NONLINEAR 2-POINT SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS, Journal of optimization theory and applications, 77(2), 1993, pp. 439-451
Citations number
7
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
77
Issue
2
Year of publication
1993
Pages
439 - 451
Database
ISI
SICI code
0022-3239(1993)77:2<439:3VCSMF>2.0.ZU;2-4
Abstract
A family of third-order variable-mesh methods for singularly perturbed two-point boundary-value problems of the form epsilony''= f(x, y, y') , y(a) = A, y(b) = B is derived. The convergence analysis is given, an d the method is shown to have third-order convergence properties. Seve ral test examples are solved to demonstrate the efficiency of the meth od.