The application of the homotopy perturbation method and the homotopy analysis method to the generalized Zakharov equations

DOI10.1155/2012/561252zbMath1246.65193OpenAlexW2083995753WikidataQ58695532 ScholiaQ58695532MaRDI QIDQ437579

Eman El Adrous, Hassan A. Zedan

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/561252

zbMATH Keywords

comparison of methodsnumerical exampleserror boundsAdomian's decomposition methodhomotopy analysis methodhomotopy perturbation methodgeneralized Zakharov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (4)

Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods ⋮ New iterative methods for solving Fokker-Planck equation ⋮ Haar wavelet method for the system of integral equations ⋮ An efficient method for solving fractional Black-Scholes model with index and exponential decay kernels

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