Year: 2020
Author: Chunguang Chen, Dong Liang, Shusen Xie
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 4 : pp. 543–556
Abstract
The new time high-order energy-preserving schemes are proposed for the nonlocal Benjamin-Ono equation. We get the Hamiltonian system to the nonlocal model, and it is then discretized by a Fourier pseudospectral method in space and the Hamiltonian boundary value method (HBVM) in time. This approach has high order of convergence in time and conserves the total mass and energy in discrete forms. We further develop a time second-order energy-preserving scheme and a time fourth-order energy-preserving scheme for the nonlocal Benjamin-Ono equation. Numerical experiments test the proposed schemes with a single solitary wave and the interaction of two solitary waves. Results confirm the accuracy and conservation properties of the schemes.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-17869
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 4 : pp. 543–556
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Nonlocal Benjamin-Ono equation Hamiltonian boundary value method (HBVM) time high-order energy preserving Fourier pseudospectral method.