An efficient approach to numerical study of the MRLW equation with B-spline collocation method
type: Item
instance of: scholarly article
title: An efficient approach to numerical study of the MRLW equation with B-spline collocation method
zbMATH Open document ID: 1474.65393
DOI: 10.1155/2014/596406
author: Turgut Ak
author: Halil Zeybek
author: Seydi Battal Gazi Karakoç
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation. Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms \(L_2\) and \(L_{\infty}\) and the invariants \(I_1\), \(I_2\), and \(I_3\). Also, we have studied the Maxwellian initial condition pulse. The numerical results obtained by the method show that the present method is accurate and efficient. Results are compared with some earlier results given in the literature. A linear stability analysis of the method is also investigated.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 7022683
Wikidata QID: Q59039776
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/596406
OpenAlex ID: W2126478352
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description: scientific article; zbMATH DE number 7022683