A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems

Authors
Wazwaz, AM
Citation
Am. Wazwaz, A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems, COMPUT MATH, 41(10-11), 2001, pp. 1237-1244
Citations number
29
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
41
Issue
10-11
Year of publication
2001
Pages
1237 - 1244
Database
ISI
SICI code
0898-1221(200105/06)41:10-11<1237:ARAFOP>2.0.ZU;2-
Abstract
In this paper, we propose an algorithm for solving the nonlinear two-point boundary value problem u " (x) + lambdaF(x, u(x)) = 0, 0 < x< 1. u(0) = u(1) = 0, that has at least one positive solution [1-6] for lambda in a compatible in terval. Our method stems mainly from combining the decomposition series sol ution obtained by Adomian decomposition method with Pade approximates, Tile validity of the approach is verified through illustrative numerical exampl es. (C) 2001 Elsevier Science Ltd. All rights reserved.