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An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation |
| LAI Hui-Lin1;MA Chang-Feng 1,2 |
| 1College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 3500072School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 441004 |
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LAI Hui-Lin, MA Chang-Feng 2008 Chin. Phys. Lett. 25 2118-2120 |
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Abstract We establish an implicit scheme of lattice Boltzmann method for simulating the sine-Gordon equation, which can be transformed into the explicit one, so the computation of the scheme is simple. Moreover, the parameter θ of the
implicit scheme is independent of the relaxation time, which makes the model more flexible. The numerical results show that this method is very effective.
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47.11.+j
44.25.+f
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Received: 31 January 2008
Published: 31 May 2008
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