THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Fang Wang

,

Xin-Yu Peng

,

Wang-Cheng Shen

TEMPORAL SECOND-ORDER FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME-FRACTIONAL GENERALIZED OLDROYD-B FLUID MODEL

ABSTRACT
In this paper, we study the variable-order generalized time fractional Oldroyd-B fluid model, use the reduced order method and the L2-1σ method to establish the differential format with second-order accuracy, prove the stability and convergence of the format, and give numerical examples to illustrate the effectiveness of the differential format.
KEYWORDS
caputo fractional derivative, fractional Oldroyd-B fluid model, fractional diffusion equation, finite difference method
PAPER SUBMITTED: 1970-01-01
PAPER REVISED: 2022-11-18
PAPER ACCEPTED: 2022-11-27
PUBLISHED ONLINE: 2023-03-04
DOI REFERENCE: https://doi.org/10.2298/TSCI2301713W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [713 - 720]
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Temporal second-order finite difference schemes for variable-order time-fractional generalized Oldroyd-B fluid model

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence