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A nonlinear shooting method for two-point boundary value problems

โœ Scribed by Sung N. Ha

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
580 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Numerov's method for strongly nonlinear
Numerov's method for strongly nonlinear two-point boundary value problems
โœ Yuan-Ming Wang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.