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

doi:10.1007/s10473-026-0223-1

Abstract

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

CLC Number:

65M12

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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