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Zbl 1181.80014
Mohyud-Din, Syed Tauseef
Solving heat and wave-like equations using He's polynomials. (English)
[J] Math. Probl. Eng. 2009, Article ID 427516, 12 p. (2009). ISSN 1024-123X; ISSN 1563-5147/e

Summary: 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.

MSC 2000:: *80M25 Other numerical methods
78M25 Numerical methods in optics
65L15 Eigenvalue problems for ODE (numerical methods)
35J05 Laplace equation, etc.
35A25 Other special methods (PDE)

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Zentralblatt MATH Berlin [Germany]