Solving the modified regularized long wave equations via higher degree B-spline algorithm
type: Item
instance of: scholarly article
title: Solving the modified regularized long wave equations via higher degree B-spline algorithm
zbMATH Open document ID: 1471.65160
DOI: 10.1155/2021/5580687
author: Pshtiwan Othman Mohammed
author: Manar A. Al-Qudah
author: Y. S. Hamed
author: Artion Kashuri
author: Khadijah M. Abualnaja
published in: Journal of Function Spaces
publication date: 2021-05-04T00:00:00Z
review text: Summary: The current article considers the sextic B-spline collocation methods (SBCM1 and SBCM2) to approximate the solution of the modified regularized long wave (MRLW) equation. In view of this, we will study the solitary wave motion and interaction of higher (two and three) solitary waves. Also, the modified Maxwellian initial condition into solitary waves is studied. Moreover, the stability analysis of the methods has been discussed, and these will be unconditionally stable. Moreover, we have calculated the numerical conserved laws and error norms \(\mathcal{L}_2\) and \(\mathcal{L}_\infty\) to demonstrate the efficiency and accuracy of the method. The numerical examples are presented to illustrate the applications of the methods and to compare the computed results with the other methods. The results show that our proposed methods are more accurate than the other methods.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 7343374
zbMATH Keywords: B-spline collocation methods
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5580687
OpenAlex ID: W3133938021
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description: scientific article; zbMATH DE number 7343374