A Legendre spectral element method for the family of regularized long wave equations

Maryam Behnood and Ali Shokri

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 201, issue C, 239-253

Abstract: Regularized Long Wave (RLW) equation is one of the most important nonlinear PDEs. It is related to the famous KdV equation and acts as an alternative for scrutinizing soliton phenomena. In this paper, we use the Legendre Spectral Element Method (LSEM) for the numerical study of the family of the RLW equations containing RLW, modified RLW, and generalized RLW. We perform the space discretization by the LSEM, and the Crank–Nicolson method is applied to discretize the time. To confirm the accuracy and efficiency of the proposed method, the conservation properties of the equations are checked, and various types of errors are reported.

Keywords: Legendre spectral element method; Regularized long wave equation; Legendre polynomials; Gauss–Lobatto–Legendre points (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475422002075
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:201:y:2022:i:c:p:239-253

DOI: 10.1016/j.matcom.2022.05.019

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().