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非线性色散方程的局部间断Petrov-Galerkin 方法
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Abstract:
本文给出数值求解非线性色散偏微分方程K(n, n)的一种方法。空间离散基于局部间断Petrov-Galerkin方法，时间离散基于三阶TVD Runge-Kutta方法。通过数值模拟试验证明该方法达到了最优收敛阶，能够较好地模拟紧孤子传播和碰撞等复杂波的相互作用。
In this paper, a numerical scheme is presented to solve the nonlinear dispersive K(n, n) equations. Spatial discretization is based on the local discontinuous Petrov-Galerkin method and temporal discretization is based on the third order accurate TVD Runge-Kutta scheme. Testing cases show that the present scheme achieves the optimal convergence order and complex wave interaction can be simulated well.
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