Sergey V. Meleshko

According to our database, Sergey V. Meleshko authored at least 26 papers between 1990 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation.

Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., November, 2023

Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates.

Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., May, 2023

Group classification of one-dimensional equations of relativistic gas dynamics.

Warisa Nakpim, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., April, 2023

2021

Exact Solutions of Boundary Layer Equations in Polymer Solutions.

Oksana A. Burmistrova, Sergey V. Meleshko, Vladislav V. Pukhnachev

Symmetry, 2021

Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates.

Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko

CoRR, 2021

Solutions of generalized simple wave type of magnetic fluid.

Sergey V. Meleshko, Sibusiso Moyo, G. M. Webb

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

Group Analysis of the Boundary Layer Equations in the Models of Polymer Solutions.

Sergey V. Meleshko, Vladislav V. Pukhnachev

Symmetry, 2020

One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes.

Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko

CoRR, 2020

Group classification of the two-dimensional shallow water equations with the beta-plane approximation of coriolis parameter in Lagrangian coordinates.

Sergey V. Meleshko, Nagiza F. Samatova

Commun. Nonlinear Sci. Numer. Simul., 2020

Complete group classification of the two-Dimensional shallow water equations with constant coriolis parameter in Lagrangian coordinates.

Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2020

2019

Comment on 'Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models'.

Sergey V. Meleshko

Comput. Phys. Commun., 2019

Symmetries of the shallow water equations in the Boussinesq approximation.

Prakrong Voraka, Chompit Kaewmanee, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2019

One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes.

Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2019

2018

Exact solutions of the population balance equation including particle transport, using group analysis.

Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood

Commun. Nonlinear Sci. Numer. Simul., 2018

Group properties of the extended Green-Naghdi equations.

Piyanuch Siriwat, Sergey V. Meleshko

Appl. Math. Lett., 2018

2017

Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y).

G. F. Oguis, Sibusiso Moyo, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2017

Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation.

Feng-Shan Long, Adisak Karnbanjong, Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2017

Linearization criteria for systems of two second-order stochastic ordinary differential equations.

Thembisile Gloria Mkhize, Keshlan S. Govinder, Sibusiso Moyo, Sergey V. Meleshko

Appl. Math. Comput., 2017

Symmetries of population balance equations for aggregation, breakage and growth processes.

Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood

Appl. Math. Comput., 2017

2016

Exact solutions of population balance equation.

Fubiao Lin, Adrian E. Flood, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2016

2015

Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term.

Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2015

On group classification of normal systems of linear second-order ordinary differential equations.

Sergey V. Meleshko, Sibusiso Moyo

Commun. Nonlinear Sci. Numer. Simul., 2015

2014

Group classification of ODE y‴=F(x, y, y′).

A. A. Gainetdinova, Nail H. Ibragimov, Sergey V. Meleshko

Commun. Nonlinear Sci. Numer. Simul., 2014

2013

Complete group classification of systems of two linear second-order ordinary differential equations.

Sibusiso Moyo, Sergey V. Meleshko, G. F. Oguis

Commun. Nonlinear Sci. Numer. Simul., 2013

2005

A new approach related with group analysis and hodograph type transformation for constructing exact solutions.

A. Hematulin, Sergey V. Meleshko

Math. Comput. Simul., 2005

1990

Application of REDUCE System for Analyzing Consistency of Systems of P.D.E.'s.

Victor G. Ganzha, Sergey V. Meleshko, V. P. Shelest

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990