A conservative compact finite difference scheme for the KdV equation
A conservative compact finite difference scheme for the KdV equation
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DOI：
10.14495/jsiaml.4.5
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Hiroki Kanazawa;Takayasu Matsuo;Takaharu Yaguchi
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文献类型：
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作者：
Hiroki Kanazawa;Takayasu Matsuo;Takaharu Yaguchi
提出了一种新的Korteweg-de弗里斯（KdV）方程的保结构积分算子.在该积分器中，两种独立的保结构技术被新地结合起来：用于构造保不变量积分器的离散变分导数方法，以及在数值流体动力学领域中广泛应用的用于求解波传播现象的紧致差分方法。数值实验表明，新的积分器实际上是优于现有的积分器。
We propose a new structure-preserving integrator for the Korteweg-de Vries (KdV) equation. In this integrator, two independent structure-preserving techniques are newly combined; the \discrete variational derivative method" for constructing invariants-preserving integrator, and the \compact (cid:12)nite difference method" which is widely used in the area of numerical (cid:13)uid dynamics for resolving wave propagation phenomena. Numerical experiments show that the new integrator is in fact advantageous than the existing integrators.