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Homotopy perturbation–reproducing kernel method for nonlinear systems of second order boundary value problems

✍ Scribed by Fazhan Geng; Minggen Cui

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
253 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

method a b s t r a c t

In this paper, based on homotopy perturbation method (HPM) and reproducing kernel method (RKM), a new method is presented for solving nonlinear systems of second order boundary value problems (BVPs). HPM is based on the use of traditional perturbation method and homotopy technique. The HPM can reduce a nonlinear problem to a sequence of linear problems and generate a rapid convergent series solution in most cases. RKM is also an analytical technique, which can solve powerfully linear BVPs. Homotopy perturbation-reproducing kernel method (HP-RKM) combines advantages of these two methods and therefore can be used to solve efficiently systems of nonlinear BVPs. Three numerical examples are presented to illustrate the strength of the method.

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