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

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An Erratum to this article was published on 26 March 2016

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.

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Acknowledgments

We would like to thank the editor and referees for their constructive comments and suggestions. The research was supported by the PHC Volubilis program MA/14/301 “Elaboration et analyse de modèles asymptotiques en micro-magnétisme, magnéto-élasticité et électro-élasticité” with joint financial support from the French Ministry of Foreign Affairs and the Moroccan Ministry of Higher Education and Scientific Research.

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Authors and Affiliations

  1. Université de La Rochelle, MIA CNRS EA 3165, 17000, La Rochelle, France

    M. Moumni

  2. FST Errachidia, M2I Laboratory, MAMCS Group, P.O. Box 509, 52000, Boutalamine, Errachidia, Morocco

    M. Moumni & M. Tilioua

Authors
  1. M. Moumni
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  2. M. Tilioua
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Correspondence to M. Tilioua.

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An erratum to this article can be found at http://dx.doi.org/10.1007/s10665-016-9857-7.

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Moumni, M., Tilioua, M. A finite-difference scheme for a model of magnetization dynamics with inertial effects. J Eng Math 100, 95–106 (2016). https://doi.org/10.1007/s10665-015-9836-4

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  • DOI: https://doi.org/10.1007/s10665-015-9836-4

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