Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations

DOI10.1007/s10255-011-0066-xzbMath1358.65055OpenAlexW2026765477MaRDI QIDQ511179

Juan Chen, Lu-Ming Zhang

Publication date: 14 February 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0066-x

zbMATH Keywords

convergencenumerical resultsconservative difference schemepriori estimatesKlein-Gordon-Zakharov equationsinitial boundary problem

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) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods ⋮ Energy stable schemes for the Klein-Gordon-Zakharov equations ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ Numerical solutions of coupled Klein-Gordon-Zakharov equations by quintic B-spline differential quadrature method ⋮ A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\)

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