Application of homotopy perturbation method to multidimensional partial differential equations

DOI10.1080/00207160802649965zbMath1202.65152OpenAlexW2047169157MaRDI QIDQ3056380

M. Saeidy, Masoud Zabihi, Hossein Jafari

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802649965

zbMATH Keywords

comparison of methodsseries solutionHelmholtz equationAdomian decomposition methodhomotopy perturbation methodmultidimensional partial differential equations

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation

Cites Work

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• Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation technique
• The numerical solution of multidimensional partial differential equations by the decomposition method

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