ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


© Институт механики
им. Р.Р. Мавлютова
УФИЦ РАН

Яндекс.Метрика web site traffic statistics

Karachurina E.V., Lukashchuk S.Yu. Solution of inverse coefficient problem for fractional anomalous diffusion equation Proceedings of the Mavlyutov Institute of Mechanics. 9 (2012) 2. 65–70.
2012. Vol. 9. Issue 2, Pp. 65–70
URL: http://proc.uimech.org/uim2012.2.051,en
DOI: 10.21662/uim2012.2.051
Solution of inverse coefficient problem for fractional anomalous diffusion equation
Karachurina E.V., Lukashchuk S.Yu.
Ufa State Aviation Technical University, Ufa

Abstract

An inverse coefficient problem is considered for time-fractional anomalous diffusion equations with the Riemann-Liouville and Caputo fractional derivatives. A numerical algorithm is proposed for identification of anomalous diffusivity which is considered as a function of concentration. The algorithm is based on transformation of inverse coefficient problem to extremum problem for the residual functional. The steepest descent method is used for numerical solving of this extremum problem. Necessary expressions for calculating gradient of residual functional are presented. The efficiency of the proposed algorithm is illustrated by several test examples.