A numerical algorithm for nonlinear multi-point boundary value problems

In this paper, an algorithm is presented for solving second-order nonlinear multi-point boundary value problems (BVPs). The method is based on an iterative technique and the reproducing kernel method (RKM). Two numerical examples are provided to show the reliability and efficiency of the present met...

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Veröffentlicht in:	Journal of computational and applied mathematics 2012, Vol.236 (7), p.1789-1794
1. Verfasser:	Geng, F.Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Boundary value problems Computational efficiency Iterative technique Kernels Mathematical analysis Mathematical models Multi-point boundary value problem Nonlinearity Numerical analysis Reproducing kernel method
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Beschreibung
Zusammenfassung:	In this paper, an algorithm is presented for solving second-order nonlinear multi-point boundary value problems (BVPs). The method is based on an iterative technique and the reproducing kernel method (RKM). Two numerical examples are provided to show the reliability and efficiency of the present method.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2011.10.010