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

被引：0
|
作者：
Wang, Fang [1 ]
Peng, Xin-Yu [1 ]
Shen, Wang-Cheng [1 ]
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Peoples R China
来源：
THERMAL SCIENCE | 2023年 / 27卷 / 1B期
基金：
中国国家自然科学基金;
关键词：
Caputo fractional derivative; fractional Oldroyd-B fluid model; fractional diffusion equation; finite difference method; UNSTEADY ROTATING-FLOWS; MAXWELL FLUID;
D O I：
10.2298/TSCI2301713W
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we study the variable-order generalized time fractional Oldroyd-B fluid model, use the reduced order method and the L2-1 Sigma method to establish the differential format with second-order accuracy, prove the stability and conver-gence of the format, and give numerical examples to illustrate the effectiveness of the differential format.
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页码：713 / 720
页数：8
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