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Öziş, Turgut; Ağırseven, Deniz

He’s homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients. (English) Zbl 1223.35294

Phys. Lett., A 372, No. 38, 5944-5950 (2008).
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.

Cited in 15 Documents

MSC:

35Q70 PDEs in connection with mechanics of particles and systems of particles
35K05 Heat equation
35L05 Wave equation
35G20 Nonlinear higher-order PDEs
65N20 Numerical methods for ill-posed problems for boundary value problems involving PDEs

Keywords:

homotopy perturbation method; heat-like equations; wave-like equations; nonlinear phenomena
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\textit{T. Öziş} and \textit{D. Ağırseven}, Phys. Lett., A 372, No. 38, 5944--5950 (2008; Zbl 1223.35294)
Full Text: DOI

References:

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