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Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods

✍ Scribed by Fazhan Geng; Minggen Cui; Bo Zhang


Book ID
108226101
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
578 KB
Volume
11
Category
Article
ISSN
1468-1218

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Homotopy perturbation–reproducing kernel
✍ Fazhan Geng; Minggen Cui 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 253 KB

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 tech