Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation

DOI10.1016/j.cam.2019.02.018zbMath1419.65034OpenAlexW2933539027MaRDI QIDQ2000612

Jialing Wang, Yu Shun Wang, Dong Liang

Publication date: 28 June 2019

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.2019.02.018

zbMATH Keywords

energy methodDirichlet boundary conditioncompact finite differenceKlein-Gordon-Schrödinger equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation ⋮ High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Mass-, and energy preserving schemes with arbitrarily high order for the Klein-Gordon-Schrödinger equations ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
• Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method
• Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method
• Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
• Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
• On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
• On coupled Klein-Gordon-Schrödinger equations. II
• On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
• The periodic wave solutions for the Klein-Gordon-Schrödinger equations
• The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
• Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
• A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations
• Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
• Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrödinger equations
• Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation
• High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation
• New energy-preserving schemes for Klein-Gordon-Schrödinger equations
• A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
• Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
• A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation
• Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schr dinger equations
• Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
• 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧致差分格式

This page was built for publication: Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation