Numerical Solution of the Fokker-Planck Equation by Spectral Collocation and Finite-Element Methods for Stochastic Magnetization Dynamics

The spectral collocation method and the finite-element method (FEM) are employed to numerically solve the Fokker-Planck (FP) equation. The methods are validated by comparison with an analytical approximation for high energy barriers. The numerical methods are employed to analyze a case of thermally activated switching.

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In this study, the spectral collocation method and finite-element method (FEM) were employed to numerically solve the Fokker-Planck (FP) equation. The validity of these methods was confirmed by comparing them with an analytical approximation for high energy barriers. The numerical methods were then used to analyze a thermally activated switching case.