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Homotopy perturbation method for solving sixth-order boundary value problems

✍ Scribed by Muhammad Aslam Noor; Syed Tauseef Mohyud-Din

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 310 KB
Volume: 55
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.11.026

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✦ Synopsis

In this paper, we apply the homotopy perturbation method for solving the sixth-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of the homotopy perturbation method. We have also considered an example where the homotopy perturbation method is not reliable.

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