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Zbl 1223.35294
Öziş, Turgut; Ağ irseven, Deniz
He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients. (English)
[J] Phys. Lett., A 372, No. 38, 5944-5950 (2008). ISSN 0375-9601

Summary: In this Letter, He's homotopy perturbation method is applied to heat-like and wave-like equations with variable coefficients. The solutions are introduced in this Letter are in recursive sequence forms which can be used to obtain the closed form of the solutions if they are required. The method is tested on various examples which are revealing the effectiveness and the simplicity of the method.

MSC 2000:: *35Q70
35K05 Heat equation
35L05 Wave equation
35G20 General theory of nonlinear higher-order PDE
65N20

Keywords: homotopy perturbation method; heat-like equations; wave-like equations; nonlinear phenomena

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Zentralblatt MATH Berlin [Germany]