New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations

DOI10.1080/00207160802247596zbMath1192.65132OpenAlexW2014943827MaRDI QIDQ3568430

Sang-Wan Ryu, S. Hamedi-Nezhad, F. Khani, Mohammad Taghi Darvishi

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802247596

zbMATH Keywords

numerical examplessine-Gordon equationhomotopy perturbation methodAdomian polynomialmodified homotopy perturbation methodcoupled sine-Gordon equation

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (12)

Soliton solutions for some nonlinear partial differential equations in mathematical physics using He's variational method ⋮ An analytical study for Fisher type equations by using homotopy perturbation method ⋮ Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel ⋮ Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension ⋮ Analytical approach to Boussinesq equation with space- and time-fractional derivatives ⋮ Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation ⋮ Variational approach, soliton solutions and singular solitons for new coupled ZK system ⋮ Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method ⋮ Derivation of soliton solutions to nonlinear evolution equations using He's variational principle ⋮ A numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio‐fluid with variable viscosity in a circular cylindrical tube ⋮ Numerical solution of fractional sine-Gordon equation using spectral method and homogenization ⋮ Least square homotopy perturbation method for ordinary differential equations

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