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

โœ Scribed by A.M. Wazwaz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
576 KB
Volume
41
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we propose an algorithm for solving the nonlinear two-point boundary value problem u"(Z) + XF(2, u(z)) = 0, 0<2<1, u(0) = u(1) = 0, that has at least one positive solution [l-6] for X in a compatible interval. Our method stems mainly from combining the decomposition series solution obtained by Adomian decomposition method with Pa& approximates. The validity of the approach is verified through illustrative numerical examples.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions for nonlinear discret
Positive solutions for nonlinear discrete periodic boundary value problems
โœ Ruyun Ma; Huili Ma ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 423 KB

We are concerned with the nonlinear discrete periodic boundary value problem where r is a positive parameter. Optimal interval will be given to the parameter r to ensure that (P) has at least one positive solution.