WSEAS Transactions on Computers
Print ISSN: 1109-2750, E-ISSN: 2224-2872
Volume 20, 2021
Approximation of Families of Characteristics of Energy Objects in the Class of Linear Differential Equations
Author: E. N. Menshov
Abstract: A method is proposed for constructing a fast-computable mathematical model of a family of energy characteristics based on its comparison with a family of integral curves in the class of linear differential equations. The method uses an affine transformation and takes into account the two-level structure of the mathematical model of a family of characteristics (differential operator and boundary conditions). It allows reducing the number of approximating summands and increasing the adequacy by including additional information of a systemic nature about the object under study.
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Keywords: Mathematical Model, Ordinary Linear Differential Equation, Lowering the Order of the Equation, Exponential the Polynomial, Interpolation
Pages: 239-246
DOI: 10.37394/23205.2021.20.26
WSEAS Transactions on Computers, ISSN / E-ISSN: 1109-2750 / 2224-2872, Volume 20, 2021, Art. #26