1. A finite-difference scheme for a model of magnetization dynamics with inertial effects
- Author
-
Mohammed Moumni and Mouhcine Tilioua
- Subjects
Physics ,Magnetization dynamics ,Inertial frame of reference ,General Mathematics ,media_common.quotation_subject ,Mathematical analysis ,General Engineering ,Finite difference ,010103 numerical & computational mathematics ,Inertia ,01 natural sciences ,Term (time) ,010101 applied mathematics ,Magnetization ,Acceleration ,Classical mechanics ,0101 mathematics ,Numerical stability ,media_common - Abstract
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.
- Published
- 2015