A finite-difference scheme for a model of magnetization dynamics with inertial effects

We consider a mathematical model describing magnetization dynamics with inertial effects. The model consists of a modified form of the Landau–Lifshitz–Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet. The modification lies in the presence of an acceleration term...

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Bibliographic Details
Published in:Journal of engineering mathematics 2016-10, Vol.100 (1), p.95-106
Main Authors: Moumni, M., Tilioua, M.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Dynamics
Evolution
Ferromagnetism
Finite difference method
Inertia
Magnetization
Mathematical analysis
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Numerical stability
Stability criteria
Theoretical and Applied Mechanics
Vectors (mathematics)
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Summary:We consider a mathematical model describing magnetization dynamics with inertial effects. The model consists of a modified form of the Landau–Lifshitz–Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet. The modification lies in the presence of an acceleration term describing inertia. A semi-implicit finite-difference scheme for the model is proposed, and a criterion of numerical stability is given. Some numerical experiments are conducted to show the performance of the scheme.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-015-9836-4