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High Order Energy-Preserving Method for the KdV Equation(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年04期
Page:
16-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
High Order Energy-Preserving Method for the KdV Equation
Author(s):
Jiang Chaolong; Sun Jianqiang; He Xunfeng; Yan Jingye
College of Information Science and Technology,Hainan University,Haikou 570228,China
Keywords:
AVF method; KdV equation; energy-preserving method
PACS:
O241
DOI:
10.3969/j.issn.1001-4616.2017.04.004
Abstract:
The KdV equation is transformed into an infinite dimensional Hamiltonian system. The finite dimensional Hamiltonian system of the KdV equation is obtained by the pseudo-spectral method in spacial direction. Then,the finite dimensional Hamiltonian system is discretizated by the fourth order AVF method. Thus,a high order energy-preserving scheme of the KdV equation is derived. The evolution of the solitary wave is simulated by the high order energy-preserving scheme. Numerical results show that the proposed scheme can preserve the discrete energy of the KdV equation exactly.

References:

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Last Update: 2017-12-30