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Generalized Integral Transforms with the Homotopy Perturbation Method

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

This paper applies He’s homotopy perturbation method to compute a large variety of integral transforms. The Esscher, Fourier, Hankel, Laplace, Mellin and Stieljes integrals transforms are particular cases of our generalized integral transform. Our method is of practical importance in order to derive new integration formulae, to approximate certain difficult integrals as well as to calculate the expectation of certain nonlinear functions of random variable.

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Authors and Affiliations

  1. Université de Montpellier 1, LAMETA (CNRS UMR 5474), Avenue Raymond Dugrand, 34960, Montpellier, France

    Jules Sadefo Kamdem

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  1. Jules Sadefo Kamdem
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Sadefo Kamdem, J. Generalized Integral Transforms with the Homotopy Perturbation Method. J Math Model Algor 13, 209–232 (2014). https://doi.org/10.1007/s10852-013-9232-x

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  • DOI: https://doi.org/10.1007/s10852-013-9232-x

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