Abstract:
The article is devoted to a numerical study of the Boussinesq – Love mathematical model considered on a graph. The model under study describes longitudinal vibrations in a construction consisting of thin, elastic rods, taking into account the external load acting on them. To find the solution, the method of successive approximations is used, and the model itself is reduced to an incomplete second-order Sobolev type equation. The first paragraph contains the results on an analytical study of the model. In the second section, the developed algorithm of the numerical method and its scheme are presented. The third section presents the results of computational experiments obtained using the program developed in the Maple environment based on the developed algorithm. All the obtained results can be applied in the field of mathematical modeling, for example, when calculating the longitudinal vibrations in a construction, taking into account the external load acting on it.
Keywords:
mathematical model, Boussinesq – Love equation, inverse problem, numerical study, Sobolev type equation, method of successive approximations.
The reported study was funded by RFBR, project number 19-31-90137.
Received: 15.08.2021
Document Type:
Article
UDC:519.62
Language: English
Citation:
A. V. Lut, A. A. Zamyshlyaeva, “Numerical investigation of the inverse problem for the Boussinesq – Love mathematical model on a graph”, J. Comp. Eng. Math., 8:3 (2021), 71–85
\Bibitem{LutZam21}
\by A.~V.~Lut, A.~A.~Zamyshlyaeva
\paper Numerical investigation of the inverse problem for the Boussinesq -- Love mathematical model on a graph
\jour J. Comp. Eng. Math.
\yr 2021
\vol 8
\issue 3
\pages 71--85
\mathnet{http://mi.mathnet.ru/jcem198}
\crossref{https://doi.org/10.14529/jcem210305}
Linking options:
https://www.mathnet.ru/eng/jcem198
https://www.mathnet.ru/eng/jcem/v8/i3/p71
This publication is cited in the following 1 articles:
A. A. Zamyshlyaeva, A. V. Lut, “Obrabotka informatsii po vosstanovleniyu parametra vneshnego vozdeistviya dlya matematicheskoi modeli ionno-zvukovykh voln v plazme”, J. Comp. Eng. Math., 9:1 (2022), 59–72
Citation in format AMSBIB
Contact us: