A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders

DOI10.1155/2012/581481zbMath1235.65148OpenAlexW1980515110WikidataQ58906173 ScholiaQ58906173MaRDI QIDQ411024

Ahmed M. A. El-Sayed, D. A. Hammad, Ahmed Elsaid

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/581481

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders ⋮ Nonstandard finite difference variational integrators for multisymplectic PDEs ⋮ A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation ⋮ Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations ⋮ A coupled method of Laplace transform and Legendre wavelets for nonlinear Klein-Gordon equations ⋮ Solitonic solutions for homogeneous KdV systems by homotopy analysis method ⋮ Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method ⋮ Numerical solution of the fractional partial differential equations by the two-dimensional fractional-order Legendre functions ⋮ An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method ⋮ Analytical solution of Abel integral equation arising in astrophysics via Laplace transform

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