Conduction in bundles of demyelinated nerve fibers: computer simulation. - Sergiy Yu. Reutskiy; Enrico Rossoni; Brunello Tirozzi (Biol. Cybern., 2003)

The method of external excitation for solving generalized Sturm-Liouville problems. - Sergiy Yu. Reutskiy (J. Comput. Appl. Math., 2010)

A meshless method for one-dimensional Stefan problems. - Sergiy Y. Reutskiy (Appl. Math. Comput., 2011)

The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere. - Sergiy Y. Reutskiy (Appl. Math. Comput., 2014)

A method of particular solutions for multi-point boundary value problems. - Sergiy Yu. Reutskiy (Appl. Math. Comput., 2014)

A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay. - Sergiy Yu. Reutskiy (Appl. Math. Comput., 2015)

The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type. - Sergiy Yu. Reutskiy (J. Comput. Appl. Math., 2016)

A novel method for solving second order fractional eigenvalue problems. - Sergiy Yu. Reutskiy (J. Comput. Appl. Math., 2016)

A new numerical method for solving high-order fractional eigenvalue problems. - Sergiy Yu. Reutskiy (J. Comput. Appl. Math., 2017)

An accurate meshless formulation for the simulation of linear and fully nonlinear advection diffusion reaction problems. - Ji Lin 001; Sergiy Yu. Reutskiy (Adv. Eng. Softw., 2018)

A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media. - Ji Lin 001; Sergiy Y. Reutskiy; Jun Lu 007 (Appl. Math. Comput., 2018)

A semi-analytic collocation method for space fractional parabolic PDE. - Sergiy Y. Reutskiy; Ji Lin 001 (Int. J. Comput. Math., 2018)

A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains. - Zhuo-Jia Fu; Sergiy Yu. Reutskiy; Hongguang Sun; Ji Ma 001; Mushtaq Ahmad Khan (Appl. Math. Lett., 2019)

A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems. - Ji Lin 001; Sergiy Y. Reutskiy (Appl. Math. Comput., 2020)

A RBF-based technique for 3D convection-diffusion-reaction problems in an anisotropic inhomogeneous medium. - Sergiy Yu. Reutskiy; Ji Lin 001 (Comput. Math. Appl., 2020)

A semi-analytical collocation method for solving multi-term variable-order time fractional partial differential equations. - Xia Tian; Sergiy Yu. Reutskiy; Zhuo-Jia Fu (CoRR, 2020)

A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems. - Ji Lin 001; Yuhui Zhang; Sergiy Yu. Reutskiy; Wenjie Feng 003 (Appl. Math. Comput., 2021)

A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients. - Ji Lin 001; Wenjie Feng 003; Sergiy Yu. Reutskiy; Haifeng Xu; Yongjun He (Appl. Math. Lett., 2021)

A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains. - Ji Lin 001; Hao Yu; Sergiy Yu. Reutskiy; Yuan Wang (Comput. Math. Appl., 2021)

A novel Fourier-based meshless method for (3+1)-dimensional fractional partial differential equation with general time-dependent boundary conditions. - Ji Lin 001; Yitong Xu; Sergiy Yu. Reutskiy; Jun Lu 007 (Appl. Math. Lett., 2023)

A novel RBF-based meshless method for solving time-fractional transport equations in 2D and 3D arbitrary domains. - Ji Lin 001; Jinge Bai; Sergiy Yu. Reutskiy; Jun Lu 007 (Eng. Comput., 2023)

Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method. - Ji Lin 001; Lianpeng Shi; Sergiy Yu. Reutskiy; Jun Lu 007 (Comput. Math. Appl., 2024)

A Gaussian-cubic backward substitution method for the four-order pure stream function formulation of two-dimensional incompressible viscous flows. - Yuhui Zhang; Ji Lin 001; Sergiy Yu. Reutskiy; Timon Rabczuk; Jun Lu 007 (Eng. Comput., 2024)

Simulation of plate bending vibration problems by the meshless backward substitution method. - Yitong Xu; Ji Lin 001; Jun Lu 007; Sergiy Y. Reutskiy (Comput. Math. Appl., 2025)

A novel local meshless collocation method with partial upwind scheme for solving convection-dominated diffusion problems. - Yuhui Zhang; Ji Lin 001; Sergiy Yu. Reutskiy; Timon Rabczuk; Jun Lu 007 (Eng. Comput., 2025)