Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity

We establish error bounds of the finite difference time domain (FDTD) methods for the long time dynamics of the nonlinear Klein-Gordon equation (NKGE) with a cubic nonlinearity, while the nonlinearity strength is characterized by \(\varepsilon^2\) with \(0

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2019-03
Hauptverfasser:	Bao, Weizhu, Feng, Yue, Yi, Wenfan
Format:	Artikel
Sprache:	eng
Schlagworte:	Error analysis Error correction Finite difference time domain method Klein-Gordon equation Mathematics - Numerical Analysis Meshing Nonlinear dynamics Nonlinearity Parameters Time domain analysis
Online-Zugang:	Volltext
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