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Zbl 1155.65082
Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef
Variational homotopy perturbation method for solving higher dimensional initial boundary value problems. (English)
[J] Math. Probl. Eng. 2008, Article ID 696734, 11 p. (2008). ISSN 1024-123X; ISSN 1563-5147/e

Summary: We suggest and analyze a technique by combining the variational iteration method and the homotopy perturbation method. This method is called the variational homotopy perturbation method. We use this method for solving higher dimensional initial boundary value problems with variable coefficients. The developed algorithm is quite efficient and is practically well suited for use in these problems. The proposed scheme finds the solution without any discritization, transformation, or restrictive assumptions and avoids the round-off errors. Several examples are given to check the reliability and efficiency of the proposed technique.

MSC 2000:: *65M70 Spectral, collocation and related methods (IVP of PDE)
34G25 Evolution inclusions

Keywords: numerical examples; variational iteration method; homotopy perturbation method; initial boundary value problems; variable coefficients; algorithm

Cited in: Zbl 1208.35156

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Zentralblatt MATH Berlin [Germany]