Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations

DOI10.1016/j.cam.2015.07.017zbMath1329.65240OpenAlexW1192781487MaRDI QIDQ495125

Xuanchun Dong, Yongjun Yuan, Zhi-Guo Xu

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.07.017

zbMATH Keywords

error estimatesenergy spacecoupled Klein-Gordon equationsGautschi-type integrationsine discretization

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system ⋮ Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation ⋮ A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation ⋮ Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation ⋮ The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations ⋮ Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping ⋮ Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations ⋮ The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions ⋮ Error estimations of the fourth-order explicit Richardson extrapolation method for two-dimensional nonlinear coupled wave equations ⋮ Accuracy improvement of a predictor-corrector compact difference scheme for the system of two-dimensional coupled nonlinear wave equations ⋮ The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations

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