Sergey V. Meleshko

Publication Activity (10 Years)

Years Active: 1990-2023
Publications (10 Years): 21

Top Topics

Conservation Laws

Ordinary Differential Equations

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Publications

Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. 119 (2023)
Evgenii I. Kaptsov, V. A. Dorodnitsyn, Sergey V. Meleshko
Invariant Finite-Difference Schemes for Cylindrical One-Dimensional MHD Flows with Conservation Laws Preservation. CoRR (2023)
Warisa Nakpim, Sergey V. Meleshko
Group classification of one-dimensional equations of relativistic gas dynamics. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko
Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation. Commun. Nonlinear Sci. Numer. Simul. 126 (2023)
Sergey V. Meleshko, Sibusiso Moyo, G. M. Webb
Solutions of generalized simple wave type of magnetic fluid. Commun. Nonlinear Sci. Numer. Simul. 103 (2021)
Oksana A. Burmistrova, Sergey V. Meleshko, Vladislav V. Pukhnachev
Exact Solutions of Boundary Layer Equations in Polymer Solutions. Symmetry 13 (11) (2021)
V. A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates. CoRR (2021)
Sergey V. Meleshko
Complete group classification of the two-Dimensional shallow water equations with constant coriolis parameter in Lagrangian coordinates. Commun. Nonlinear Sci. Numer. Simul. 89 (2020)
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes. CoRR (2020)
Sergey V. Meleshko, Nagiza F. Samatova
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. 90 (2020)
Sergey V. Meleshko, Vladislav V. Pukhnachev
Group Analysis of the Boundary Layer Equations in the Models of Polymer Solutions. Symmetry 12 (7) (2020)
V. A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes. Commun. Nonlinear Sci. Numer. Simul. 74 (2019)
Sergey V. Meleshko
Comment on 'Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models'. Comput. Phys. Commun. 239 (2019)
Prakrong Voraka, Chompit Kaewmanee, Sergey V. Meleshko
Symmetries of the shallow water equations in the Boussinesq approximation. Commun. Nonlinear Sci. Numer. Simul. 67 (2019)
Piyanuch Siriwat, Sergey V. Meleshko
Group properties of the extended Green-Naghdi equations. Appl. Math. Lett. 81 (2018)
Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood
Exact solutions of the population balance equation including particle transport, using group analysis. Commun. Nonlinear Sci. Numer. Simul. 59 (2018)
G. F. Oguis, Sibusiso Moyo, Sergey V. Meleshko
Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y). Commun. Nonlinear Sci. Numer. Simul. 44 (2017)
Feng-Shan Long, Adisak Karnbanjong, Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko
Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation. Commun. Nonlinear Sci. Numer. Simul. 48 (2017)
Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood
Symmetries of population balance equations for aggregation, breakage and growth processes. Appl. Math. Comput. 307 (2017)
T. G. Mkhize, K. Govinder, Sibusiso Moyo, Sergey V. Meleshko
Linearization criteria for systems of two second-order stochastic ordinary differential equations. Appl. Math. Comput. 301 (2017)
Fubiao Lin, Adrian E. Flood, Sergey V. Meleshko
Exact solutions of population balance equation. Commun. Nonlinear Sci. Numer. Simul. 36 (2016)
Sergey V. Meleshko, Sibusiso Moyo
On group classification of normal systems of linear second-order ordinary differential equations. Commun. Nonlinear Sci. Numer. Simul. 22 (Issues) (2015)
Amornrat Suriyawichitseranee, Yurii N. Grigoriev, Sergey V. Meleshko
Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term. Commun. Nonlinear Sci. Numer. Simul. 20 (3) (2015)
A. A. Gainetdinova, Nail H. Ibragimov, Sergey V. Meleshko
Group classification of ODE y‴=F(x, y, y′). Commun. Nonlinear Sci. Numer. Simul. 19 (2) (2014)
Sibusiso Moyo, Sergey V. Meleshko, G. F. Oguis
Complete group classification of systems of two linear second-order ordinary differential equations. Commun. Nonlinear Sci. Numer. Simul. 18 (11) (2013)
A. Hematulin, Sergey V. Meleshko
A new approach related with group analysis and hodograph type transformation for constructing exact solutions. Math. Comput. Simul. 69 (3-4) (2005)
Victor G. Ganzha, Sergey V. Meleshko, V. P. Shelest
Application of REDUCE System for Analyzing Consistency of Systems of P.D.E.'s. ISSAC (1990)