Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain

被引：13

作者：

Chi, Xiaoqing ^{[1
]}

Jiang, Xiaoyun ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 402卷

基金：

中国国家自然科学基金;

关键词：

Generalized Oldroyd-B fluid; Semi-infinite domain; Second order theta scheme; Laguerre-Legendre spectral method; Stability and convergence; SUB-DIFFUSION EQUATIONS; WAVE EQUATION; CONSTITUTIVE EQUATION; PSEUDOSPECTRAL METHOD; FLOW; APPROXIMATIONS; PLATE;

D O I：

10.1016/j.amc.2021.126138

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the numerical solution for a two-dimensional generalized Oldroyd-B fluid flowing on a semi-infinite domain. The second order theta scheme with the weighted and shifted Grunwald difference operator is derived to approximate the time derivatives with orders in (0,2). For the case of unbounded space, the Laguerre-Legendre spectral method is proposed. The fully discrete scheme is obtained and proved to be stable, con vergent with accuracy 0(tau(2) + N-(1(-s)/2) + M1-r) where tau is the time step size, N, M are the polynomial degrees. We also implement some numerical examples to further support the theoretical analysis. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：15

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