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

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


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.


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

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