Sergiy Reutskiy

National Academy of Sciences of Ukraine — UA

Engineering · Physical Sciences

21h-index1.4kcitations82works3.02yr avg
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Research Topics

Numerical methods in engineering(53), Fractional Differential Equations Solutions(22), Differential Equations and Numerical Methods(20), Advanced Numerical Methods in Computational Mathematics(14), Numerical methods in inverse problems(14)

Publications82 total

The complex influence of external and internal electricity networks on the magnetic field level in residential premises of buildings
Electrical Engineering & Electromechanics·2025Open Access
Simulation of plate bending vibration problems by the meshless backward substitution method
Computers & Mathematics with Applications·2025
Magnetic field of electrical heating cable systems of the floors for residential premises
Electrical Engineering & Electromechanics·2024· 2 citedOpen Access
Protection of workers against the magnetic field of 330-750 kV overhead power lines when performing work without removing the voltage under load
Electrical Engineering & Electromechanics·2024· 2 citedOpen Access
The meshless backward substitution method for inverse Cauchy problems in electroelastic piezoelectric structures
Engineering Analysis with Boundary Elements·2024· 2 cited
A novel local meshless collocation method with partial upwind scheme for solving convection-dominated diffusion problems
Engineering With Computers·2024· 7 cited
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method
Computers & Mathematics with Applications·2024· 9 cited
A Novel Method for Linear Systems of Fractional Ordinary Differential Equations with Applications to Time-Fractional PDEs
Computer Modeling in Engineering & Sciences·2024· 2 citedOpen Access
A Gaussian–cubic backward substitution method for the four-order pure stream function formulation of two-dimensional incompressible viscous flows
Engineering With Computers·2023· 4 cited
A Novel Accurate Method for Multi-Term Time-Fractional Nonlinear Diffusion Equations in Arbitrary Domains
Computer Modeling in Engineering & Sciences·2023Open Access
A novel Gaussian-cubic-based backward substitution method using symmetric variable shape parameter
Engineering Analysis with Boundary Elements·2023· 7 cited
The Novel Analytical–Numerical Method for Multi-Dimensional Multi-Term Time-Fractional Equations with General Boundary Conditions
Mathematics·2023· 8 citedOpen Access
A novel Fourier-based meshless method for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e653" altimg="si1.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional fractional partial differential equation with general time-dependent boundary conditions
Applied Mathematics Letters·2022· 12 cited
An Extrinsic Approach Based on Physics-Informed Neural Networks for PDEs on Surfaces
Mathematics·2022· 8 citedOpen Access
A novel RBF-based meshless method for solving time-fractional transport equations in 2D and 3D arbitrary domains
Engineering With Computers·2022· 66 cited
A semi-analytical method for 1D, 2D and 3D time fractional second order dual-phase-lag model of the heat transfer
Alexandria Engineering Journal·2021· 14 citedOpen Access
A novel meshless collocation solver for solving multi-term variable-order time fractional PDEs
Engineering With Computers·2021· 8 cited
A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems
Applied Mathematics and Computation·2021· 50 cited
A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains
Computers & Mathematics with Applications·2021· 8 cited
A meshless method for solving a class of nonlinear generalized telegraph equations with time-dependent coefficients based on radial basis functions
The European Physical Journal Plus·2020· 2 cited
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Frequent Co-authors

Ji Lin(17), Jun Lu(6), B. Tirozzi(4), Zhuojia Fu(3), HongGuang Sun(3), Wenjie Feng(3), C.S. Chen(2), Haoxing Tian(2), Yuhui Zhang(2), S. A. Lifits(2), Ma Ji(1), Mushtaq Ahmad Khan(1), Enrico Rossoni(1), Jinge Bai(1), Yuhui Zhang(1), C. S. Chen(1), Haifeng Xu(1), Yongjun He(1), Yuhui Zhang(1), Yuxin He(1)