Finite Element Method for a Fractional-Order Filtration Equation with a Transient Filtration Law

In this article, a numerical method is proposed and investigated for an initial boundary value problem governed by a fractional differential generalization of the nonlinear transient filtration law which describes fluid motion in a porous medium. This type of equation is widely used to describe comp...

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Hlavní autoři:	Nurlana Alimbekova, Abdumauvlen Berdyshev, Muratkan Madiyarov, Yerlan Yergaliyev
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2024-08-01
Edice:	Mathematics
Témata:	differential filtration equation with a transient filtration law Caputo fractional derivative finite element method stability convergence Newton’s method
On-line přístup:	https://www.mdpi.com/2227-7390/12/16/2519
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