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Abstract
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This paper is concerned with a meshless simulation of the two dimensional Landau–Lifschitz–Gilbert
(LLG) equation which describes the dynamics of the magnetization inside a ferromagneticbody. After
elimination of the time variable by a suitable finite difference scheme, a combination of the meshless
local RBFandthe finite collocationmethodisusedforspatialdiscretizationsofthe field variables.Three
test problemsarenumericallyinvestigatedandtheresultsrevealtheeffectivenessofthemethod.
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