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<p>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.</p>

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On the stability of a variable time step scheme for the ferrohydrodynamics flow

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Aytura Keram,
  • Pengzhan Huang,
  • Yinnian He

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.