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Modified Variational Iteration Method for Heat and Wave-Like Equations

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Abstract

In this paper, we apply the modified variational iteration method (MVIM) for solving the heat and wave-like equations. The proposed modification is made by introducing He’s polynomials in the correction functional. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that proposed technique solves nonlinear problems without using the Adomian’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor & Syed Tauseef Mohyud-Din

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  1. Muhammad Aslam Noor
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  2. Syed Tauseef Mohyud-Din
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Correspondence to Syed Tauseef Mohyud-Din.

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Noor, M.A., Mohyud-Din, S.T. Modified Variational Iteration Method for Heat and Wave-Like Equations. Acta Appl Math 104, 257–269 (2008). https://doi.org/10.1007/s10440-008-9255-x

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