A recursive sequence of radiation boundary conditions ยฎrst given by Hagstrom and Hariharan [Appl. Numer. Math. 27 (1998) 403] for the time-dependent wave equation in a two-dimensional exterior region are re-derived based on direct application of the hierarchy of local boundary operators of Bayliss a
โฆ LIBER โฆ
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain
โ 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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โฆ 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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