Approximate Methods for Solving Differential Equations for Continuous Models of a Sustainable Economy
- 10.2991/assehr.k.220106.055How to use a DOI?
- continuous models of economics; differential equations; approximate methods
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.
- © 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 -