具有beaver - joseph - saffman界面条件的时间分数Stokes-Darcy模型的分割时间步进方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-01-15 DOI:10.1016/j.camwa.2024.11.033

Yuting Xiang , Haibiao Zheng

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引用次数: 0

摘要

本文提出了一种基于beaver - joseph - saffman条件的分块时间步进算法求解时间分数型Stokes-Darcy问题的数值方法。利用离散分数型Gronwall不等式，在适当的时间步长限制τ≤C（其中C代表物理参数）下，建立了该方法的稳定性。此外，还推导了误差估计，以深入了解所提出方法的准确性。给出了支持理论结果的数值实验。

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Partitioned time stepping method for time-fractional Stokes-Darcy model with the Beavers-Joseph-Saffman interface conditions

This paper proposes a numerical method for solving the time-fractional Stokes-Darcy problem using a partitioned time stepping algorithm with the Beavers-Joseph-Saffman condition. The stability of the method is established under a moderate time step restriction,

τ \leq C

where C represents physical parameters, by utilizing a discrete fractional Gronwall type inequality. Additionally, error estimates are derived to provide insight into the accuracy of the proposed method. Numerical experiments that support the theoretical results are presented.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).