Fourier expansion solution of the Korteweg-de Vries equation
Fourier expansion solution of the Korteweg-de Vries equation
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DOI：
10.1016/0021-9991(80)90105-9
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发表时间：
1980-02
影响因子：
4.1
通讯作者：
K. Abe;O. Inoue
中科院分区：
文献类型：
--
作者：
K. Abe;O. Inoue
Korteweg-de Vries方程采用傅立叶展开法、有限差分法等方法进行数值求解。通过将每种方法应用于常见的初始值问题，可以相互比较计算的准确性。傅里叶展开法被认为是最准确、最有效的方法。 N. J. Zabusky 和 M. D. Kruskal 讨论了初始状态重现的细节。
The Korteweg-de Vries equation is numerically solved by using the Fourier expansion method, the finite-difference methods, and other methods. By applying each method to a common initial-value problem, the accuracies of computations are compared with each other. The Fourier expansion method is found to be the most accurate and effective method. The details of the recurrence of an initial state, discussed by N. J. Zabusky and M. D. Kruskal, are examined.