Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear <scp>Klein–Gordon</scp> equation with weak nonlinearity
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Publication:6088486
DOI10.1002/num.22558arXiv2003.03951MaRDI QIDQ6088486
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.03951
nonlinear Klein-Gordon equationweak nonlinearityfourth-order compact finite difference methodlong time error analysisoscillatory nonlinear Klein-Gordon equation
PDEs in connection with fluid mechanics (35Q35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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