The solution of the anomalous diffusion equation by a finite element method formulation based on the Caputo derivative

A finite element method formulation is developed for the solution of the anomalous diffusion equation. This equation belongs to the branch of mathematics called fractional calculus: it is governed by a partial differential equation in which a fractional time derivative, whose order ranges in the int...

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Veröffentlicht in:	Journal of the Brazilian Society of Mechanical Sciences and Engineering 2022-06, Vol.44 (6), Article 250
Hauptverfasser:	Corrêa, R. M., Carrer, J. A. M., Solheid, B. S., Trevelyan, J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Derivatives Differential calculus Diffusion Engineering Exact solutions Finite element analysis Finite element method Fractional calculus Mechanical Engineering Operators (mathematics) Partial differential equations Technical Paper
Online-Zugang:	Volltext
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