A New Algorithm Based on the Homotopy Perturbation Method For a Class of Singularly Perturbed Boundary Value Problems

. In this paper, a new algorithm is presented to approximate the solution of a singularly perturbed boundary value problem with leftlayer based on the homotopy perturbation technique and applying the Laplace transformation. The convergence theorem and the error bound of the proposed method are prove...

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Published inJournal of Mathematical Extension Vol. 7; no. 4; pp. 29 - 45
Main Authors A New Algorithm Based on the Homotopy Perturbation Method For a Class of Singularly Perturbed Boundary Value Problems, S. M. Hossein, M. Heydari, Sh. S. Behzadi
Format Journal Article
LanguageEnglish
Published Islamic Azad University 01.12.2013
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ISSN1735-8299
1735-8299

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Summary:. In this paper, a new algorithm is presented to approximate the solution of a singularly perturbed boundary value problem with leftlayer based on the homotopy perturbation technique and applying the Laplace transformation. The convergence theorem and the error bound of the proposed method are proved. The method is examined by solving two examples. The results demonstrate the reliability and efficiency of the proposed method.
ISSN:1735-8299
1735-8299