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Zbl 1142.65386
Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef
Homotopy perturbation method for solving sixth-order boundary value problems. (English)
[J] Comput. Math. Appl. 55, No. 12, 2953-2972 (2008). ISSN 0898-1221

Summary: 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.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)

Keywords: homotopy perturbation; non-linear problems; integral equations; boundary value problems; approximate solution

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