Numerical approaches of the generalized time-fractional Burgers' equation with time-variable coefficients
type: Item
instance of: scholarly article
title: Numerical approaches of the generalized time-fractional Burgers' equation with time-variable coefficients
DOI: 10.1155/2021/8803182
author: D. Vieru
author: Nehad Ali Shah
author: Constantin Fetecau
author: Jae Dong Chung
published in: Journal of Function Spaces
publication date: 2022-01-05T00:00:00Z
review text: Summary: The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional derivative. The studied model contains as particular cases the Burgers equation with Atangana-Baleanu, Caputo-Fabrizio, and Caputo time-fractional derivatives. A numerical scheme, based on the finite-difference approximations and some integral representations of the two-parameter Mittag-Leffler functions, has been developed. Numerical solutions of a particular problem with initial and boundary values are determined by employing the proposed method. The numerical results are plotted to compare solutions corresponding to the problems with time-fractional derivatives with different kernels.
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 7452506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8803182
OpenAlex ID: W4200013981
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description: scientific article; zbMATH DE number 7452506