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ORCIDSergey V. Meleshko
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Journal Articles
- 2025
[j24]C. Chittam, Sergey V. Meleshko
:
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. 142: 108527 (2025)- 2023
- [j23]Warisa Nakpim, Sergey V. Meleshko:
Group classification of one-dimensional equations of relativistic gas dynamics. Commun. Nonlinear Sci. Numer. Simul. 118: 107054 (2023) - [j22]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: 107119 (2023) - [j21]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: 107514 (2023) - 2021
- [j20]Sergey V. Meleshko, Sibusiso Moyo, G. M. Webb:
Solutions of generalized simple wave type of magnetic fluid. Commun. Nonlinear Sci. Numer. Simul. 103: 105991 (2021) - [j19]Oksana A. Burmistrova, Sergey V. Meleshko, Vladislav V. Pukhnachev:
Exact Solutions of Boundary Layer Equations in Polymer Solutions. Symmetry 13(11): 2101 (2021) - 2020
- [j18]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: 105293 (2020) - [j17]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: 105337 (2020) - [j16]Sergey V. Meleshko, Vladislav V. Pukhnachev:
Group Analysis of the Boundary Layer Equations in the Models of Polymer Solutions. Symmetry 12(7): 1084 (2020) - 2019
- [j15]Prakrong Voraka, Chompit Kaewmanee, Sergey V. Meleshko:
Symmetries of the shallow water equations in the Boussinesq approximation. Commun. Nonlinear Sci. Numer. Simul. 67: 1-12 (2019) - [j14]Vladimir 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: 201-218 (2019) - [j13]Sergey V. Meleshko:
Comment on 'Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models'. Comput. Phys. Commun. 239: 14-15 (2019) - 2018
- [j12]Piyanuch Siriwat, Sergey V. Meleshko:
Group properties of the extended Green-Naghdi equations. Appl. Math. Lett. 81: 1-6 (2018) - [j11]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: 255-271 (2018) - 2017
- [j10]Thembisile Gloria Mkhize, Keshlan S. Govinder, Sibusiso Moyo, Sergey V. Meleshko:
Linearization criteria for systems of two second-order stochastic ordinary differential equations. Appl. Math. Comput. 301: 25-35 (2017) - [j9]Fubiao Lin, Sergey V. Meleshko, Adrian E. Flood:
Symmetries of population balance equations for aggregation, breakage and growth processes. Appl. Math. Comput. 307: 193-203 (2017) - [j8]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: 318-333 (2017) - [j7]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: 350-360 (2017) - 2016
- [j6]Fubiao Lin, Adrian E. Flood, Sergey V. Meleshko:
Exact solutions of population balance equation. Commun. Nonlinear Sci. Numer. Simul. 36: 378-390 (2016) - 2015
- [j5]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): 719-730 (2015) - [j4]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): 1002-1016 (2015) - 2014
- [j3]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): 345-349 (2014) - 2013
- [j2]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): 2972-2983 (2013) - 2005
- [j1]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): 282-289 (2005)
Conference and Workshop Papers
- 1990
- [c1]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: 301
Informal and Other Publications
- 2023
- [i3]Evgenii I. Kaptsov, Vladimir A. Dorodnitsyn, Sergey V. Meleshko:
Invariant Finite-Difference Schemes for Cylindrical One-Dimensional MHD Flows with Conservation Laws Preservation. CoRR abs/2302.05280 (2023) - 2021
- [i2]Vladimir A. Dorodnitsyn, Evgenii I. Kaptsov, Sergey V. Meleshko:
Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates. CoRR abs/2111.08604 (2021) - 2020
- [i1]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 abs/2011.14397 (2020)
Coauthor Index
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