@article{Kabanikhin_Bektemessov_Shishlenin_Yang_Bektemessov_2018, title={Application of differential evolution algorithm for solving the Solow model with the addition of human capital}, volume={98}, url={https://bm.kaznu.kz/index.php/kaznu/article/view/406}, DOI={10.26577/jmmcs-2018-2-406}, abstractNote={<p>This paper is devoted to a numerical study of defining of parameters of dynamical systems arising<br>in financial and economic problems. The importance of parameters that are difficult to measure is<br>great, so defining them will help to make forecasts and a work plan for the future at the governmental<br>level. An effective way to restore parameters is to solve the inverse problem. The method<br>of coefficient recovery using the algorithm of differential evolution, which was proposed by Rainer<br>Storn and Kenneth Price, is presented in this paper. On the example of solving the direct problem<br>of the mathematical model of neoclassical economic growth of Robert Solow and the results<br>obtained, the inverse problem was solved and unknown parameters were determined. The Solow<br>model is based on the Cobb-Douglas production function, taking into account labor, capital and<br>exogenous neutral technical progress. Also, for further calculations, the economic model proposed<br>by Mankiw-Romer-Weil based on the Solow model was considered, but with the addition of human<br>capital, where the number of variables and coefficients that need to be restored has already<br>increasing. A direct problem was also solved, results were obtained that were applied in the algorithm<br>of differential evolution for parameters recovery.</p>}, number={2}, journal={Journal of Mathematics, Mechanics and Computer Science}, author={Kabanikhin, S. I. and Bektemessov, M. A. and Shishlenin, M. A. and Yang, Xin-She and Bektemessov, Zh. M.}, year={2018}, month={Aug.}, pages={57–66} }