Sergey V. Meleshko

28 papers B 1Journal 27

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	General solution of the Maxwell equations for the stagnation point problem with cylindrical symmetry for all values of the parameter in the Johnson-Segalman derivative. Commun. Nonlinear Sci. Numer. Simul. C. Chittam, Sergey V. Meleshko
2023	J	`jnl`	Group classification of one-dimensional equations of relativistic gas dynamics. Commun. Nonlinear Sci. Numer. Simul. Warisa Nakpim, Sergey V. Meleshko
2023	J	`jnl`	Invariant Finite-Difference Schemes for Cylindrical One-Dimensional MHD Flows with Conservation Laws Preservation. CoRR Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko
2023	J	`jnl`	Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation. Commun. Nonlinear Sci. Numer. Simul. Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko
2023	J	`jnl`	Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
2021	J	`jnl`	Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates. CoRR Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
2021	J	`jnl`	Exact Solutions of Boundary Layer Equations in Polymer Solutions. Symmetry Oksana A. Burmistrova, Sergey V. Meleshko, Vladislav V. Pukhnachev
2021	J	`jnl`	Solutions of generalized simple wave type of magnetic fluid. Commun. Nonlinear Sci. Numer. Simul. Sergey V. Meleshko, Sibusiso Moyo, G. M. Webb
2020	J	`jnl`	Complete group classification of the two-Dimensional shallow water equations with constant coriolis parameter in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. Sergey V. Meleshko
2020	J	`jnl`	Group Analysis of the Boundary Layer Equations in the Models of Polymer Solutions. Symmetry Sergey V. Meleshko, Vladislav V. Pukhnachev
2020	J	`jnl`	Group classification of the two-dimensional shallow water equations with the beta-plane approximation of coriolis parameter in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. Sergey V. Meleshko, Nagiza F. Samatova
2020	J	`jnl`	One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes. CoRR Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
2019	J	`jnl`	Comment on 'Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models'. Comput. Phys. Commun. Sergey V. Meleshko
2019	J	`jnl`	One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes. Commun. Nonlinear Sci. Numer. Simul. Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
2019	J	`jnl`	Symmetries of the shallow water equations in the Boussinesq approximation. Commun. Nonlinear Sci. Numer. Simul. Prakrong Voraka, Chompit Kaewmanee, Sergey V. Meleshko
2018	J	`jnl`	Exact solutions of the population balance equation including particle transport, using group analysis. Commun. Nonlinear Sci. Numer. Simul. Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood
2018	J	`jnl`	Group properties of the extended Green-Naghdi equations. Appl. Math. Lett. Piyanuch Siriwat, Sergey V. Meleshko
2017	J	`jnl`	Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation. Commun. Nonlinear Sci. Numer. Simul. Feng-Shan Long, Adisak Karnbanjong, Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko
2017	J	`jnl`	Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y). Commun. Nonlinear Sci. Numer. Simul. Giovanna Fae R. Oguis, Sibusiso Moyo, Sergey V. Meleshko
2017	J	`jnl`	Linearization criteria for systems of two second-order stochastic ordinary differential equations. Appl. Math. Comput. Thembisile Gloria Mkhize, Keshlan S. Govinder, Sibusiso Moyo, Sergey V. Meleshko
2017	J	`jnl`	Symmetries of population balance equations for aggregation, breakage and growth processes. Appl. Math. Comput. Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood
2016	J	`jnl`	Exact solutions of population balance equation. Commun. Nonlinear Sci. Numer. Simul. Fubiao Lin, Adrian E. Flood, Sergey V. Meleshko
2015	J	`jnl`	Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term. Commun. Nonlinear Sci. Numer. Simul. Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko
2015	J	`jnl`	On group classification of normal systems of linear second-order ordinary differential equations. Commun. Nonlinear Sci. Numer. Simul. Sergey V. Meleshko, Sibusiso Moyo
2014	J	`jnl`	Group classification of ODE y‴=F(x, y, y′). Commun. Nonlinear Sci. Numer. Simul. A. A. Gainetdinova, Nail H. Ibragimov, Sergey V. Meleshko
2013	J	`jnl`	Complete group classification of systems of two linear second-order ordinary differential equations. Commun. Nonlinear Sci. Numer. Simul. Sibusiso Moyo, Sergey V. Meleshko, Giovanna Fae R. Oguis
2005	J	`jnl`	A new approach related with group analysis and hodograph type transformation for constructing exact solutions. Math. Comput. Simul. A. Hematulin, Sergey V. Meleshko
1990	B	`conf`	Application of REDUCE System for Analyzing Consistency of Systems of P.D.E.'s. ISSAC Victor G. Ganzha, Sergey V. Meleshko, V. P. Shelest