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

Author(s):

Mohammad Ali Fariborzi Araghi , Seyed Mohammad Hosseini , Mohammad Heydari , Shadan Sedigh Behzadi

Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

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.

Keywords:

Singularly perturbed problem , boundary value problem , boundary layer , homotopy perturbation method (HPM) , Laplace transformation , convergence

Language:
English
Published:
Journal of Mathematical Extension, Volume:7 Issue: 4, Autumn 2013
Pages:
29 to 45
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