Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems

DOI10.1016/j.amc.2012.12.049zbMath1286.65139OpenAlexW2024864187MaRDI QIDQ2444244

Matthew Russo, Robert A. van Gorder

Publication date: 9 April 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.12.049

zbMATH Keywords

numerical examplessinh-Gordon equationLiouville equationhomotopy analysis methodcontrol of errorquasilinear Klein-Gordon equationtanh-Gordon equation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) 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 (10)

Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid ⋮ Numerical solution of initial-boundary system of nonlinear hyperbolic equations ⋮ Numerical solution of higher order boundary value problems ⋮ An improved optimal homotopy analysis algorithm for nonlinear differential equations ⋮ On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations ⋮ Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method ⋮ Solution of the one-phase inverse Stefan problem by using the homotopy analysis method ⋮ Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind ⋮ Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations ⋮ An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system

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