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

Sergey Kabanikhin, Olga Krivorotko, Zholaman Bektemessov, Maktagali Bektemessov, Shuhua Zhang

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)761-774
Number of pages14
JournalJournal of Inverse and Ill-Posed Problems
Volume28
Issue number5
Early online date1 Sep 2020
DOIs
Publication statusPublished - 1 Oct 2020

Keywords

  • differential evolution
  • economy
  • identifiability
  • inverse problem
  • optimization
  • parameter identification
  • PDE
  • reconstruction of parameters
  • regularization
  • Solow model
  • spatial Solow model

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