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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2021 Volume 8, Issue 3, Pages 14–31 (Mi jcem195)

Engineering Mathematics

Information-logical modelling in studies of non-classical linear models of mathematical physics

E. A. Soldatovaa, A. V. Kellerab, S. A. Zagrebinaa

a South Ural State University, Chelyabinsk, Russian Federation
b Voronezh State Technical University, Voronezh, Russian Federation

Abstract: The article proposes an information-logical model for the study of non-classical linear models of mathematical physics. Information-logical modelling is based on the stages of research of mathematical models and methods of system analysis. The decomposition carried out takes into account the following: the peculiarities of analytical and numerical methods for studying various initial-boundary value problems for Sobolev-type equations, various applied problems that are solved using non-classical linear models of mathematical physics. When constructing an information-logical model for the study of non-classical linear models of mathematical physics with a random external influence, general structural elements were identified, which made it possible to represent a set of studied information objects, their attributes and relations between them.

Keywords: information-logical modelling, system analysis, non-classical models of mathematical physics.

UDC: 510.8

Received: 24.08.2021

Language: English

DOI: 10.14529/jcem210302



© Steklov Math. Inst. of RAS, 2025