Numerical simulation of time fractional BBM-Burger equation using cubic B-spline functions
type: Item
instance of: scholarly article
title: Numerical simulation of time fractional BBM-Burger equation using cubic B-spline functions
DOI: 10.1155/2022/2119416
author: Mohsin Kamran
author: Muhammad Abbas
author: Abdul Majeed
author: Homan Emadifar
author: Tahir Nazir
published in: Journal of Function Spaces
publication date: 2022-01-31T00:00:00Z
review text: Summary: The unidirectional propagation of long waves in certain nonlinear dispersive system is explained by the Benjamin-Bona-Mahony-Burger (BBM-Burger) equation. The purpose of this study is to investigate the BBM-Burger equation numerically using Caputo derivative and B-spline basis functions. The fractional derivative is considered in Caputo form, and \(L1\) formula is used for discretization of temporal derivative. The interpolation of space derivative is done with the help of B-spline functions. The effect of \(\alpha\) and time on solution profile of travelling wave for different domain of \(x\) is discussed in this paper. The numerical results have been presented to show that the cubic B-spline method is effective and efficient in solving the time fractional Benjamin-Bona-Mahony-Burger (BBM-Burger) equation. Moreover, the convergence and stability of the proposed scheme are analyzed. The error norms are also calculated to check the accuracy of the proposed scheme. The numerical results reflect that the proposed scheme can be used for linear and highly nonlinear models.
Mathematics Subject Classification ID: 65Mxx
zbMATH DE Number: 7466771
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/2119416
OpenAlex ID: W4205951299
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description: scientific article; zbMATH DE number 7466771