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

โœ Scribed by Houde Han; Zhiwen Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
634 KB
Volume
227
Category
Article
ISSN
0021-9991

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โœฆ Synopsis


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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