Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain

Houde Han Zhiwen Zhang

Numerical Analysis and Scientific Computing mathscidoc:1912.431038

Journal of Computational Physics, 227, (20), 8992-9004, 2008.10
The numerical solution of the one-dimensional nonlinear Klein-Gordon equation on an unbounded domain is studied in this paper. Split local absorbing boundary (SLAB) conditions are obtained by the operator splitting method, then the original problem is reduced to an initial boundary value problem on a bounded computational domain, which can be solved by the finite difference method. Several numerical examples are provided to show the advantages and effectiveness of the given method, and some interesting collision behaviors are also observed.
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@inproceedings{houde2008split,
  title={Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain},
  author={Houde Han, and Zhiwen Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211414795399602},
  booktitle={Journal of Computational Physics},
  volume={227},
  number={20},
  pages={8992-9004},
  year={2008},
}
Houde Han, and Zhiwen Zhang. Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain. 2008. Vol. 227. In Journal of Computational Physics. pp.8992-9004. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211414795399602.
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