Sergiy Yu. Reutskiy

19 papers Journal 19
YearRankTypeTitle / Venue / Authors
2025 J jnl
A novel local meshless collocation method with partial upwind scheme for solving convection-dominated diffusion problems.
Eng. Comput.
Yuhui Zhang, Ji Lin, Sergiy Yu. Reutskiy, Timon Rabczuk, Jun Lu
2024 J jnl
A Gaussian-cubic backward substitution method for the four-order pure stream function formulation of two-dimensional incompressible viscous flows.
Eng. Comput.
Yuhui Zhang, Ji Lin, Sergiy Yu. Reutskiy, Timon Rabczuk, Jun Lu
2024 J jnl
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method.
Comput. Math. Appl.
Ji Lin, Lianpeng Shi, Sergiy Yu. Reutskiy, Jun Lu
2023 J jnl
A novel Fourier-based meshless method for (3+1)-dimensional fractional partial differential equation with general time-dependent boundary conditions.
Appl. Math. Lett.
Ji Lin, Yitong Xu, Sergiy Yu. Reutskiy, Jun Lu
2023 J jnl
A novel RBF-based meshless method for solving time-fractional transport equations in 2D and 3D arbitrary domains.
Eng. Comput.
Ji Lin, Jinge Bai, Sergiy Yu. Reutskiy, Jun Lu
2021 J jnl
A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains.
Comput. Math. Appl.
Ji Lin, Hao Yu, Sergiy Yu. Reutskiy, Yuan Wang
2021 J jnl
A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients.
Appl. Math. Lett.
Ji Lin, Wenjie Feng, Sergiy Yu. Reutskiy, Haifeng Xu, Yongjun He
2021 J jnl
A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems.
Appl. Math. Comput.
Ji Lin, Yuhui Zhang, Sergiy Yu. Reutskiy, Wenjie Feng
2020 J jnl
A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium.
Comput. Math. Appl.
Sergiy Yu. Reutskiy, Ji Lin
2020 J jnl
A semi-analytical collocation method for solving multi-term variable-order time fractional partial differential equations.
CoRR
Xia Tian, Sergiy Yu. Reutskiy, Zhuo-Jia Fu
2019 J jnl
A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains.
Appl. Math. Lett.
Zhuo-Jia Fu, Sergiy Yu. Reutskiy, Hongguang Sun, Ji Ma, Mushtaq Ahmad Khan
2018 J jnl
An accurate meshless formulation for the simulation of linear and fully nonlinear advection diffusion reaction problems.
Adv. Eng. Softw.
Ji Lin, Sergiy Yu. Reutskiy
2017 J jnl
A new numerical method for solving high-order fractional eigenvalue problems.
J. Comput. Appl. Math.
Sergiy Yu. Reutskiy
2016 J jnl
A novel method for solving second order fractional eigenvalue problems.
J. Comput. Appl. Math.
Sergiy Yu. Reutskiy
2016 J jnl
The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type.
J. Comput. Appl. Math.
Sergiy Yu. Reutskiy
2015 J jnl
A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay.
Appl. Math. Comput.
Sergiy Yu. Reutskiy
2014 J jnl
A method of particular solutions for multi-point boundary value problems.
Appl. Math. Comput.
Sergiy Yu. Reutskiy
2010 J jnl
The method of external excitation for solving generalized Sturm-Liouville problems.
J. Comput. Appl. Math.
Sergiy Yu. Reutskiy
2003 J jnl
Conduction in bundles of demyelinated nerve fibers: computer simulation.
Biol. Cybern.
Sergiy Yu. Reutskiy, Enrico Rossoni, Brunello Tirozzi