An Implicit Scheme of Lattice Boltzmann Method for Sine-Gordon Equation
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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. -