Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods

DOI10.1016/j.physleta.2007.02.082zbMath1209.65136OpenAlexW2080387748MaRDI QIDQ715831

A. Sadighi, Davood Domairry Ganji

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.02.082

zbMATH Keywords

Laplace equationAdomian decomposition methodvariational iteration methodhomotopy-perturbation method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (11)

Recent development of Adomian decomposition method for ordinary and partial differential equations ⋮ Solutions of the Cahn-Hilliard equation ⋮ Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method ⋮ Group preserving scheme for the Cauchy problem of the Laplace equation ⋮ NONLINEAR FREE VIBRATION OF SIMPLY SUPPORTED BEAMS CONSIDERING THE EFFECTS OF SHEAR DEFORMATION AND ROTARY INERTIA, A HOMOTOPY PERTURBATION APPROACH ⋮ Comparative vibration analysis of a parametrically nonlinear excited oscillator using HPM and numerical method ⋮ A new approximate method and its convergence for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit ⋮ Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences ⋮ A study on nonlinear wet fin problem using homotopy analysis method ⋮ A new modification of He's homotopy perturbation method for rapid convergence of nonlinear undamped oscillators ⋮ Homotopy perturbation based linearization of nonlinear heat transfer dynamic

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