Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

DOI10.4208/eajam.140820.250820zbMath1464.35275arXiv2006.08079OpenAlexW3108825697MaRDI QIDQ4986577

Hong Zhang, Xu Qian, Songhe Song, JingYe Yan

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08079

zbMATH Keywords

finite difference methoderror estimateconvergence orderlogarithmic Klein-Gordon equationregularised logarithmic Klein-Gordon equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A novel regularized model for the logarithmic Klein-Gordon equation ⋮ Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System ⋮ Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation

Cites Work

• Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
• Regularized numerical methods for the logarithmic Schrödinger equation
• Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
• Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation
• Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein–Gordon equation
• Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
• A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
• An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System

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