Proceedings of the International Scientific and Practical Conference "Sustainable development of environment after Covid-19" (SDEC 2021)

Approximate Methods for Solving Differential Equations for Continuous Models of a Sustainable Economy

Authors
Tatyana Gorskaya1, *, Anis Galimyanov2
1Kazan State University of Architecture and Engineering, Kazan, Russia
2Kazan (Volga) Federal University, Kazan, Russia
*Corresponding author. Email: gorskaya0304@mail.ru
Corresponding Author
Tatyana Gorskaya
Available Online 18 January 2022.
DOI
10.2991/assehr.k.220106.055How to use a DOI?
Keywords
continuous models of economics; differential equations; approximate methods
Abstract

The article provides an overview of the economic situations of different countries related to the impact of the COVID-19 pandemic and reveals some conclusions for the economies of the countries. An overview of some economic models based on the application of ordinary differential equations, linear and nonlinear, integer and fractional orders is presented. An overview of approximate methods for their solution is also presented. The expediency of application of this or that numerical method for solution of differential equations is shown. For some equations of continuous models of economy an approximate method is proposed and substantiated in the paper. The convergence estimations of the approximate methods in the corresponding functional spaces are given. The implementation of the proposed solution methods on test examples are presented. Also the results of numerical solution of these equations have been obtained in the form of graphs and a comparative analysis of the obtained results has been carried out.

Copyright
© 2022 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Scientific and Practical Conference "Sustainable development of environment after Covid-19" (SDEC 2021)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
18 January 2022
ISBN
10.2991/assehr.k.220106.055
ISSN
2352-5398
DOI
10.2991/assehr.k.220106.055How to use a DOI?
Copyright
© 2022 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Tatyana Gorskaya
AU  - Anis Galimyanov
PY  - 2022
DA  - 2022/01/18
TI  - Approximate Methods for Solving Differential Equations for Continuous Models of a Sustainable Economy
BT  - Proceedings of the International Scientific and Practical Conference "Sustainable development of environment after Covid-19" (SDEC 2021)
PB  - Atlantis Press
SP  - 309
EP  - 315
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.220106.055
DO  - 10.2991/assehr.k.220106.055
ID  - Gorskaya2022
ER  -