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

Sergey Igorevich Kabanikhin, Криворотько Ольга Игоревна, Zholaman M. Bektemessov, Maktagali Bektemessov, Shuhua Zhang

2020

Full text Open access: Green Metadata (CSL-JSON)

DOI 10.1515/jiip-2020-0108

Data confidence 70 medium

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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.