Homotopy perturbation method for solving wave-like nonlinear equations with initial-boundary conditions

DOI10.1155/2011/534165zbMath1232.65168OpenAlexW2049767585WikidataQ58655503 ScholiaQ58655503MaRDI QIDQ659523

Afgan Aslanov

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/534165

zbMATH Keywords

approximate analytical solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

A homotopy-analysis approach for nonlinear wave-like equations with variable coefficients ⋮ Numerical Solution of Nonlinear Wave-Like Equations by Reduced Differential Transform Method ⋮ A hybrid analytical algorithm for nonlinear fractional wave-like equations

Cites Work

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• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
• He's homotopy perturbation method for solving the shock wave equation

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