Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation

DOI10.1016/j.amc.2013.06.059zbMath1329.65189OpenAlexW2069585784MaRDI QIDQ905320

Yong Jiang, Lu-Ming Zhang, Ting-chun Wang

Publication date: 19 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.059

zbMATH Keywords

convergencesolvabilitycompact finite difference schemesemi-explicit schemeKlein-Gordon-Zakharov equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (11)

Energy stable schemes for the Klein-Gordon-Zakharov equations ⋮ Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ On the convergence of a high-accuracy conservative scheme for the Zakharov equations ⋮ Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation ⋮ Numerical approximation of solution for the coupled nonlinear Schrödinger equations ⋮ A conservative linearly-implicit compact difference scheme for the quantum Zakharov system ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\)

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