Modeling of freezing processes by an one-dimensional thermal conductivity equation with fractional differentiation operators

Modeling of freezing processes by an one-dimensional thermal conductivity equation with fractional differentiation operators

We have studied the Stefan problem with Caputo fractional order time derivatives. The difference scheme is built. The algorithm and the program for a numerical solution of the Stefan problem with fractional differentiation operator are created. For the given entry conditions and freezing ground para...

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Bibliographic Details
Main Authors: Vetlugin D Beybalaev, Abutrab A Aliverdiev, Ramazan A Magomedov, Rashid R Meilanov, Enver N Akhmedov
Format: Article
Language:English
Published: Samara State Technical University 2017-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
caputo fractional derivative
fractal structure
stefan problem
the memory effect
difference scheme
heat conductivity
phase transition
phase boundary
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/20552/16799

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https://journals.eco-vector.com/1991-8615/article/viewFile/20552/16799

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