• method of fundamental solutions
• boundary integral equations method
• inverse problems
• genetic algorithms
• genetic programming

• Genetic algorithms (PM)
• Systems of Computer Mathematics in Scientific Researches (am)
• Basics of Programming (Applied Mathematics, System Analysis)
• Educational Practice (Computational Mathematics)
• Fundamentals of machine learning (AM)

• Borachok I., Chapko R., Mindrinos L. Two-step numerical methods for a coupled parabolic-hyperbolic transmission problem // Computers & Mathematics with Applications — 2025. https://doi.org/10.1016/j.camwa.2024.11.015
• Borachok I. Evolutionary-numerical algorithm for unsteady inverse geometric problems in double-connected domains // Journal of Applied and Numerical Analysis — 2024. https://doi.org/10.30970/ana.2024.2.18
• Borachok I., Chapko R. A fundamental sequences method for an inverse boundary value problem for the heat equation in double-connected domains // Inverse Problems and Imaging. — 2024. https://doi.org/10.3934/ipi.2024043
• Borachok I., Palianytsia O.,  Chapko R. Method of Radial Basis Functions for Solving the Partial Integro-Differential Equation of Diffusion with Nonlocal Effects // Cybernetics and Systems Analysis. — 2024. https://doi.org/10.1007/s10559-024-00701-7
• Borachok I., Marchenko A. Genetic programming for the two-dimensional boundary reconstruction problem // Visnyk of the Lviv University. Series Applied Mathematics and Computer Science. — 2023. https://doi.org/10.30970/vam.2023.31.11848
• Borachok I., Chapko R., Johansson B.T. A fundamental sequences method with time-reduction for one-dimensional lateral Cauchy problems // Journal of Applied and Numerical Analysis. — 2023. (DOI: 10.30970/ana.2023.1.16).
• Borachok I., Chapko R., Johansson B.T. Rothe’s method in combination with a fundamental sequences method for the nonstationary Stokes problem // Numerical Algorithms. — 2023. (DOI: 10.1007/s11075-023-01639-1).
• Borachok I., Chapko R., Johansson B.T. An inverse elastodynamic data reconstruction problem // J Eng Math. — 2022. –Vol. 134 (3). (DOI: 10.1007/s10665-022-10219-6).
• Borachok I. An application of the method of fundamental solutions for the elastodynamic problem  // Visnyk of the Lviv University, Series Appl.Math and Informatics. — 2022.  — Vol. 30. — P. 27-37. (DOI: 10.30970/vam.2022.30.11593).
• Borachok I., Chapko R., Johansson B.T. A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data // Partial Differ. Equ. Appl. — 2022. –Vol.3 (DOI: 10.1007/s42985-022-00177-0).
• Borachok I., Chapko R., Johansson B.T. A method of fundamental solutions for heat and wave propagation from lateral Cauchy data // Numerical Algorithms. — 2021. — P. 1-19 (DOI: 10.1007/s11075-021-01120-x).
• Borachok I. On the method of fundamental solutions for the time dependent Dirichlet problems // Journal of Numerical & Applied Mathematics. — 2021. — Vol. 3 (137). — P. 33-44.
• Baravdish G. , Borachok I., Chapko R., Johansson B.T., Slodička M. An iterative method for the Cauchy problem for second-order elliptic equations // International Journal of Mechanical Sciences.  — 2018. — Vol. 142. — P. 216-223. (DOI: 10.1016/j.ijmecsci.2018.04.042).
• Borachok I. An iterative method for the Cauchy problem for the Laplace equation in three-dimensional domains. // Journal of Numerical & Applied Mathematics. — 2017. — Vol. 3. — P. 3-15.
• Borachok I., Chapko R., Johansson B.T. Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations // J. Inverse Ill-Posed Probl.  — 2016. — Vol. 24. — P. 711-725. (DOI: 10.1515/jiip-2015-0053).
• Borachok I., Chapko R., Johansson B.T. Numerical solution of a Cauchy problem for Laplace equation in 3-dimensional domains by integral equations //Inverse Problems in Science and Engineering. — 2016, — Vol. 9. — P. 1550–1568. (DOI: 10.1080/17415977.2015.1130042).
• Borachok I., Chapko R. On the numerical solution of a Dirichlet boundary value problem for Laplace Equation in three-dimensional doubly connected domains.  // Visnyk of the Lviv University, Series Appl.Math and Informatics. — 2015.  — Vol. 18.

2010-2015 – student of the Faculty of Applied Mathematics and Informatics. Diploma for special. “Applied Mathematics”. Supervisor: prof. Chapko Roman Stepanovych.

2015-2019 – postgraduate student of the Faculty of Applied Mathematics and Informatics. Special. 01.01.07 “Computational Mathematics”. Supervisor: prof. Chapko Roman Stepanovych. The topic of the dissertation research: “Numerical solution of the Cauchy problem for the Laplace equation in three-dimensional double connected domains”.

26.02.2020 – PhD in special. “Computational Mathematics”.

from 2016 – assistant of DCM, Faculty of Applied Mathematics and Informatics.

1st semester
2nd semester