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Solving Heat and Wave-Like Equations Using He's Polynomials

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  • Syed Tauseef Mohyud-Din

Abstract

We use He's polynomials which are calculated form homotopy perturbation method (HPM) for solving heat and wave-like equations. 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 suggested technique solves nonlinear problems without using Adomian's polynomials is a clear advantage of this algorithm over the decomposition method.

Suggested Citation

  • Syed Tauseef Mohyud-Din, 2009. "Solving Heat and Wave-Like Equations Using He's Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-12, August.
    • Handle: RePEc:hin:jnlmpe:427516
    DOI: 10.1155/2009/427516
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