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Simplicial homotopy method for the solution of nonlinear two-point boundary value problems

✍ Scribed by Kiyotaka Yamamura; Shin'Ichi Oishi; Kazuo Horiuchi


Book ID
112075318
Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
707 KB
Volume
68
Category
Article
ISSN
8756-6621

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πŸ“œ SIMILAR VOLUMES


The homotopy analysis method for multipl
✍ S. Abbasbandy; E. Magyari; E. Shivanian πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 434 KB

This paper investigates two basic steps of the homotopy analysis method (HAM) when applied to nonlinear boundary value problems of the chemical reaction kinetics, namely (1) the prediction and (2) the effective calculation of multiple solutions. To be specific, the approach is applied to the dual so

A nonlinear shooting method for two-poin
✍ Sung N. Ha πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 580 KB

We study a new nonlinear shooting method for solving two-point boundary value problems and show numerical experiments with various initial velocity conditions. We discuss and analyze the numerical solutions which are obtained by the shooting method.

An efficient analytic approach for solvi
✍ Hany N. Hassan; Magdy A. El-Tawil πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 539 KB

## Communicated by J. Cash In this paper, we use homotopy analysis method (HAM) to solve two-point nonlinear boundary value problems that have at least one solution. The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic c

Numerov's method for strongly nonlinear
✍ Yuan-Ming Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 372 KB

By in proper transformation, a class of strongly nonlinear two-point boundary value problems are transformed into semilinear problems so that the well-known Numerov's method can be applied. Some applications and numerical results are presented to demonstrate the efficiency of the approach.