Inverse coefficient problems of competitive diffusion in heterogeneous media of nanoporous particles using gradient methods
1 Department of software engineering, Ternopil Ivan Puluj National Technical University, Ternopil, 46001, Ukraine
2 Department of computer systems and networks, Ternopil Ivan Puluj National Technical University, Ternopil, 46001, Ukraine
Keywords:
Inverse coefficient problems, gradient methods
Abstract
Inverse problem for coefficients finding of competitive diffusion in heterogeneous media of nanoporous particles has been considered. Formulation and justification of direct and conjugate boundary problems has been provided. The solutions of boundary problems has been build taking advantage of Heaviside's methods. Explicit expressions for gradients functional residuals has been obtained to identify the parameters of nanoporous media in form of diffusion coefficients for intercrystallytes and intracrystallytes spaces as functions of time for different modes of particles along the catalyst layer. Distributions of concentrations for two defunded components in studied sample of nanoporous media has been visualized.
Cite
- ACS Style
- Petryk, M.; Fressard, J.; Petryk, O.; Mykhalyk, D.M. Inverse coefficient problems of competitive diffusion in heterogeneous media of nanoporous particles using gradient methods. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Petryk M, Fressard J, Petryk O, Mykhalyk DM. Inverse coefficient problems of competitive diffusion in heterogeneous media of nanoporous particles using gradient methods. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Myhaylo Petryk, Jacques Fressard, Oksana Petryk, Dmytro Mykhaylovych Mykhalyk. 2017. "Inverse coefficient problems of competitive diffusion in heterogeneous media of nanoporous particles using gradient methods". Bukovinian Mathematical Journal. 4 no. 3-4.
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