Roman Cherniha

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 20

Top Topics

Diffusion Equation

Mathematical Model

Ant Colony Algorithm

Boundary Conditions

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Int. J. Appl. Math. Comput. Sci.

Publications

Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski
A mathematical model for two solutes transport in a poroelastic material and its applications. Commun. Nonlinear Sci. Numer. Simul. 132 (2024)
Roman Cherniha, Vasyl' Davydovych, John R. King
The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties. Commun. Nonlinear Sci. Numer. Simul. 124 (2023)
Vasyl' Davydovych, Vasyl' Dutka, Roman Cherniha
Reaction-Diffusion Equations in Mathematical Models Arising in Epidemiology. Symmetry 15 (11) (2023)
Roman Cherniha, Vasyl' Davydovych, Joanna Stachowska-Pietka, Jacek Waniewski
A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples - Part 2. Symmetry 14 (1) (2022)
Roman Cherniha, Vasyl' Davydovych
Construction and application of exact solutions of the diffusive Lotka-Volterra system: A review and new results. Commun. Nonlinear Sci. Numer. Simul. 113 (2022)
Roman Cherniha, Mykola Serov, Yulia Prystavka
A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations. Commun. Nonlinear Sci. Numer. Simul. 92 (2021)
Roman Cherniha
Comments on the paper "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry approach". Commun. Nonlinear Sci. Numer. Simul. 102 (2021)
Roman Cherniha
Comments on the Paper "Lie Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Spatially Two-Dimensional Burgers-Huxley Equation". Symmetry 12 (6) (2020)
Roman Cherniha, Vasyl' Davydovych
Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. Entropy 22 (2) (2020)
Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski
A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis, and Examples. Symmetry 12 (3) (2020)
Roman Cherniha, Vasyl' Davydovych
A Mathematical Model for the COVID-19 Outbreak and Its Applications. Symmetry 12 (6) (2020)
Roman Cherniha, Vasyl' Davydovych
Lie symmetries, reduction and exact solutions of the (1+2)-dimensional nonlinear problem modeling the solid tumour growth. Commun. Nonlinear Sci. Numer. Simul. 80 (2020)
Roman Cherniha, Mykola Serov, Oleksii Pliukhin
-Conditional Symmetries of Reaction-Diffusion-Convection Equations with Exponential Nonlinearities and Their Application for Finding Exact Solutions. Symmetry 10 (4) (2018)
Roman Cherniha, Vasyl' Davydovych, John R. King
Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. Symmetry 10 (5) (2018)
Roman Cherniha, Maksym Didovych
A (1 + 2)-Dimensional Simplified Keller-Segel Model: Lie Symmetry and Exact Solutions. II. Symmetry 9 (1) (2017)
Roman Cherniha, Vasyl' Davydovych, Liliia Muzyka
Lie symmetries of the shigesada-Kawasaki-Teramoto system. Commun. Nonlinear Sci. Numer. Simul. 45 (2017)
Roman Cherniha, Kateryna Gozak, Jacek Waniewski
Exact and Numerical Solutions of a Spatially-Distributed Mathematical Model for Fluid and Solute Transport in Peritoneal Dialysis. Symmetry 8 (6) (2016)
Roman Cherniha, John R. King, Sergii Kovalenko
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity. Commun. Nonlinear Sci. Numer. Simul. 36 (2016)
Roman Cherniha, John R. King
Lie and Conditional Symmetries of a Class of Nonlinear (1 + 2)-Dimensional Boundary Value Problems. Symmetry 7 (3) (2015)
Roman Cherniha, Vasyl' Davydovych
Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case. Appl. Math. Comput. 268 (2015)
Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski
A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis. Int. J. Appl. Math. Comput. Sci. 24 (4) (2014)
Roman Cherniha, Maksym Didovych
Exact solutions of the simplified Keller-Segel model. Commun. Nonlinear Sci. Numer. Simul. 18 (11) (2013)
Roman Cherniha, Vasyl' Davydovych
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. Math. Comput. Model. 54 (5-6) (2011)