Variational homotopy perturbation method for solving higher dimensional initial boundary value problems.

*(English)*Zbl 1155.65082Summary: 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:

65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |

34G25 | Evolution inclusions |

##### Keywords:

numerical examples; variational iteration method; homotopy perturbation method; initial boundary value problems; variable coefficients; algorithm
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\textit{M. A. Noor} and \textit{S. T. Mohyud-Din}, Math. Probl. Eng. 2008, Article ID 696734, 11 p. (2008; Zbl 1155.65082)

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