Journal Article

Long time error analysis of finite difference time domain methods for the nonlinear klein-gordon equation withweak nonlinearity

Communications in Computational Physics (2019) 26(5) 1307-1334
DOI: 10.4208/cicp.2019.js60.03
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Abstract

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 ϵ2 with 0

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Bao, W., Feng, Y., & Yi, W. (2019). Long time error analysis of finite difference time domain methods for the nonlinear klein-gordon equation withweak nonlinearity. Communications in Computational Physics, 26(5), 1307–1334. https://doi.org/10.4208/cicp.2019.js60.03

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