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The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method

โœ Scribed by Mehdi Dehghan; Abbas Saadatmandi

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
203 KB
Volume
46
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The sinc-collocation method is presented for solving a nonlinear system of second-order boundary value problems. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the system of second-order boundary value problems to some algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results.

๐Ÿ“œ SIMILAR VOLUMES

Solution of nonlinear boundary value pro
Solution of nonlinear boundary value problems โ€” I method of third order convergence for solution of nonlinear two-point boundary value problems single second order equation
โœ Milan Kubรญฤek; Vladimรญmir Hlavรกฤ›k ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

procedure towards solution of two-point nonlinear boundary value problems for single equation of second order is described. For the correction of missing conditions two algorithms of 3rd order convergence are suggested and, in addition, a comparison with Newton root-finding method is presented. The