Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model-Reference-Cited by-同舟云学术

Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model

Published:2020-09-04 Issue:5 Volume:28 Page:761-774
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Kabanikhin Sergey¹,Krivorotko Olga¹,Bektemessov Zholaman²,Bektemessov Maktagali³,Zhang Shuhua⁴

Affiliation:

1. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Prosp. Akad. Lavrentyeva 6 , Novosibirsk State University , Pirogova str. 2, 630090 Novosibirsk , Russia

2. Al-Farabi Kazakh National University , al-Farabi ave. 71, 050040 Almaty , Kazakhstan

3. Abai Kazakh National Pedagogical University , Dostyk ave. 13, 050010 Almaty , Kazakhstan

4. Tianjin University of Finance and Economics , Tianjin , P. R. China

Abstract

Abstract The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product for the fixed points. Since the inverse problem is ill-posed the regularized differential evolution is applied. For getting the optimized solution of the inverse problem the differential evolution algorithm is paralleled to 32 kernels. Numerical results for different technological levels and errors in measured data are presented and discussed.

Funder

Russian Science Foundation

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0108/pdf

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