ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW

doi:10.1007/s10473-026-0223-1

数学物理学报(英文版) ›› 2026, Vol. 46 ›› Issue (2): 971-992.doi: 10.1007/s10473-026-0223-1

ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW

Aytura KERAM¹, Pengzhan HUANG^1,*, Yinnian HE^2,3

1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China;
2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China;
3. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2024-03-29 修回日期:2024-10-18 发布日期:2026-05-22

ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW

Aytura KERAM¹, Pengzhan HUANG^1,*, Yinnian HE^2,3

1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China;
2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China;
3. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2024-03-29 Revised:2024-10-18 Published:2026-05-22
Contact: ^*Pengzhan HUANG, E-mail: hpzh@xju.edu.cn
About author:Aytura KERAM, E-mail: ayturakeram@sina.com; Yinnian HE, E-mail: heyn@mail.xjtu.edu.cn
Supported by:
Tianshan Talent Training Program of Xinjiang Uygur Autonomous Region (2023TSYCCX0103).

摘要/Abstract

摘要： In this paper, we design a decoupled, linear, stable scheme with variable time step for solving a ferrohydrodynamics system. Based on the backward Euler scheme with variable time step for time discretization, this scheme deals with nonlinear terms by explicit treatment. Meanwhile, we show the stability of the proposed scheme. Finally, some numerical experiments are provided to illustrate the accuracy and stability of the proposed scheme.

关键词: ferrohydrodynamics, variable time step, finite element method, stability

Abstract: In this paper, we design a decoupled, linear, stable scheme with variable time step for solving a ferrohydrodynamics system. Based on the backward Euler scheme with variable time step for time discretization, this scheme deals with nonlinear terms by explicit treatment. Meanwhile, we show the stability of the proposed scheme. Finally, some numerical experiments are provided to illustrate the accuracy and stability of the proposed scheme.

Key words: ferrohydrodynamics, variable time step, finite element method, stability

中图分类号:

65M12

Aytura KERAM, Pengzhan HUANG, Yinnian HE. ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW[J]. 数学物理学报(英文版), 2026, 46(2): 971-992.

Aytura KERAM, Pengzhan HUANG, Yinnian HE. ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW[J]. Acta mathematica scientia,Series B, 2026, 46(2): 971-992.

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ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW

ON THE STABILITY OF A VARIABLE TIME STEP SCHEME FOR THE FERROHYDRODYNAMICS FLOW

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