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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 6, Pages 1013–1021 (Mi zvmmf10710)

Efficient implementation of a transport model in periodic layered structures

M. G. Muradyan

Armenian State University of Economics, Yerevan, Armenia

Abstract: An analytical representation of the general solution to a finite-difference system describing transport in a periodic medium is found. On the basis of this representation, an efficient numerical algorithm is developed for solving some boundary value problems of transport in a multilayered medium.

Key words: transport in periodic media, reflection and transmission operators, dissipative and conservative transport, analogue of the Milne problem, numerical algorithm.

UDC: 519.633

Received: 03.07.2017

DOI: 10.7868/S0044466918060121


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:6, 967–975

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© Steklov Math. Inst. of RAS, 2026