Application of the DG method for solution of inverse problem of medicine diffusion out from the chitosan film
I. M. Gubaydullin1, R. V. Zhalnin2, V. F. Masyagin3, V. F. Tishkin4, A. S. Shurshina5
| Annotation | 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. |
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| Keywords | diffusion-type equations, discontinuous Galerkin method, inverse problem, genetic algorithm |
1Senior researcher of laboratory of mathematical chemistry, Institute of Petrochemistry and Catalysis, RAS, Ufa; irekmars@mail.ru.
2Head of Department of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair, Mordovian State University after N. P. Ogarev, Saransk; zhalnin@gmail.com.
3Lecturer of Applied Mathematics, Differential Equations and Theoretical Mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk; vmasyagin@gmail.com.
4Deputy Director for Science of the Institute of applied mathematics by name M.V. Keldysh of RAS, Moscow; v.f.tishkin@mail.ru.
5Senior lecturer of the department of high-molecular compounds and general chemical technology, Bashkir State University, Ufa; anzhela$_$murzagil@mail.ru.
Citation: 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 Srednevolzhskogo matematicheskogo obshchestva,18:2 (2016) 94–105 (In Russian)
