I. M. Gubaydullin, R. V. Zhalnin, V. F. Masyagin, V. F. Tishkin, A. S. Shurshina, “Application of the DG method for solution of inverse problem of medicine diffusion out from the chitosan film”, Zhurnal SVMO, 2016, Volume 18, Number 2,Pages <nobr>94

This article is cited in 3 papers

Applied mathematics and mechanics

Application of the DG method for solution of inverse problem of medicine diffusion out from the chitosan film

I. M. Gubaydullin^a, R. V. Zhalnin^b, V. F. Masyagin^b, V. F. Tishkin^c, A. S. Shurshina^d

^a Institute of Petrochemistry and Catalysis of RAS
^b Ogarev Mordovia State University, Saransk
^c Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
^d Bashkir State University, Ufa

Abstract: In the work a numerical method based on the discontinuous Galerkin method is proposed to solve the inverse problem of finding the diffusion coefficient using a genetic algorithm. Series of numerical experiments with field data for various calcination temperature of the film with different chitosan drug composition were set.

Keywords: diffusion-type equations, discontinuous Galerkin method, inverse problem, genetic algorithm.

UDC: 517.9