Development of machine learning and iterative methods for determining thermophysical parameters of inhomogeneous media and creating a software suite

To develop methods for determining the set of thermophysical parameters of a multilayer medium by non-destructive testing, to prove the stability and convergence of the developed methods, to carry out measurements to obtain the initial data, and to build and debug a software product for determining all thermophysical parameters of multilayer soil and testing the developed methods.

Software code was developed for determining the thermal conductivity and heat capacity coefficients of a material.

1. Rysbaiuly, B.; Sinitsa, A., Capsoni, A. Analytical Inverse Analysis Methodological Approach for Thermo-Physical Parameters Estimation of Multilayered Medium Terrain with Homogenized Sampled Measurements. Symmetry 2022, 14, 2248. (Scopus percentile 93) DOI: https://doi.org/10.3390/sym14112248
2. Rysbaiuly B., Alpar S. Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem. Applied Mathematics and Computation (Scopus percentile 95) DOI https://doi.org/10.1016/j.amc.2022.127656
3. B. Rysbaiuly, S.D. Alpar, Experimental Data and the Nonlinear Inverse Problem of Heat Transfer, International Journal of Mathematics and Physics 13, No1 (2022), 4-18p, DOI: https://doi.org/10.26577/ijmph.2022.v13.i1.01
4. B. Rysbaiuly, S.D. Alpar, SOLUTION OF A NONLINEAR HEAT TRANSFER PROBLEM BASED ON EXPERIMENTAL DATA, KazNU Bulletin, pp. 4–18, DOI: https://doi.org/10.26577/JMMCS.2022.v114.i2.014
5. B. Rysbaiuly, S.D. Alpar, A nonlinear inverse problem of determining thermophysical characteristics (in Russian), Bulletin of the National Engineering Academy of the RK, pp. 148–151, DOI: https://doi.org/10.47533/2020.1606-146X.183
6. Rysbaiuly B., Karashbayeva Zh.O., METHODS OF FINDING DIFFUSION AND THERMAL CONDUCTIVITY COEFFICIENTS OF HEAT AND MASS TRANSFER, Bulletin of Abai KazNPU, Physical and Mathematical Sciences Series, No. 2 (78), 2022, pp. 67–68, DOI: https://doi.org/10.51889/2022-2.1728-7901.08
7. B. Rysbaiuly, N.E. Mukhametkaliyeva, Iterative Method of Finding All Thermophysical Parameters of a Two-Layer Soil, Journal of Physics: Conference Series, DOI: 10.1088/1742-6596/2224/1/012041
8. B. Rysbaiuly, S. Alpar, Nonlinear Inverse Heat Transfer Problem, Journal of Physics: Conference Series, DOI:10.1088/1742-6596/2224/1/012039
9. B. Rysbaiuly. Inverse problems of nonlinear heat transfer: monograph (in Russian). Almaty: Kazakh University, 2022, 368 p.