Cover Image

The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation

The problem of mathematical modeling of nonlinear stationary heat conduction processes leads to the necessity for an effective solution of boundary value problems for an elliptic equation with a coefficient that is nonlinearly dependent on temperature. In this paper, the Dirichlet problem for the he...

Full description

Saved in:

Bibliographic Details
Date:	2018
Main Author:	Сидоров, Максим Вікторович
Format:	Article
Language:	Ukrainian
Published:	Кам'янець-Подільський національний університет імені Івана Огієнка 2018
Online Access:	https://mcm-math.kpnu.edu.ua/article/view/159393
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Mathematical and computer modelling. Series: Physical and mathematical sciences

Institution

Mathematical and computer modelling. Series: Physical and mathematical sciences

Similar Items

The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: M. V. Sydorov
Published: (2018)

Two-Sided Approximations Method for a Dirichlet Problem for the Nonlinear Heat Equation
by: M. V. Sydorov
Published: (2017)

Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Monotone Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2024)

Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Singular Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2025)

Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity
by: Пархоменко, Владислав, et al.
Published: (2025)

The Method of Two-Sided Approximations in the Numerical Analysis of the Navier Problem as a Mathematical Model of a One-Dimensional Microelectromechanical System
by: Гвоздєв, Микита, et al.
Published: (2026)

Application of the Method of Two-Sided Approximations to Solving the First Boundary Value Problem for a One-Dimensional Nonlinear Heat Conduction Equation
by: Василишин, Костянтин
Published: (2024)

Analysis of One-Dimensional Steady-State Thermochemical Problems Using the Method of Two-Sided Approximations with Green’s Function
by: Янбеков, Равіль
Published: (2026)

Application of geotechnical structures in «green construction»
by: Sviatohorov, Illia O.
Published: (2024)

The Application of the Method of Two-Sided Approximations to Solving the Dirichlet Problem for a Semilinear Equation with a Biharmonic Operator, which is a Mathematical Model of a Microelectromechanical System
by: Савченко, Антон
Published: (2024)

Application of R-Function Methods and the Nonlinear Galerkin Method in the Mathematical Modeling of Plane Steady Viscous Flows
by: Сидоров, Максим, et al.
Published: (2026)

Метод двобічних наближень розв’язання задачі Діріхле для нелінійного рівняння теплопровідності
by: Сидоров, Максим Вікторович
Published: (2017)

Two-Sided Approximation of Solutions of Boundary-Value Problems
by: Mentynskyi, S. M., et al.
Published: (2005)

Application of the Method of Two-Sided Approximations to the Analysis of the Influence of Beam End Conditions on the Static Deflection of a Beam in Microelectromechanical Systems
by: Савченко, Антон
Published: (2026)

Lyapunov-type inequalities for two classes of nonlinear systems with homogeneous Dirichlet boundary conditions
by: M. F. Aktaş
Published: (2018)

Lyapunov-type inequalities for two classes of nonlinear systems with homogeneous Dirichlet boundary conditions
by: Aktaş, M. F., et al.
Published: (2018)

Two-Sided Approximation of Solutions of a Multipoint Problem for an Ordinary Differential Equation with Parameters
by: Mentynskyi, S. M., et al.
Published: (2005)

Strongly local nonlinear Dirichlet functionals
by: Biroli, M.
Published: (2004)

Construction of exact solutions of nonlinear heat conduction equations
by: Barannik, A., et al.
Published: (2026)

Application of the Two-Sided Approximations Method to the Static Deflection Analysis of an Elastic Beam Under Various Boundary Conditions in a Microelectromechanical System Model
by: Савченко, Антон, et al.
Published: (2025)

Analysis by the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Singular Power Nonlinearity
by: Пархоменко, Владислав
Published: (2026)

Approximate method for the solution of the generalized Dirichlet problem
by: Lopushanskaya, G. P., et al.
Published: (1994)

Application of one constructive method for the construction of non-Lie solutions of nonlinear evolution equations
by: Cherniga, R. M., et al.
Published: (1997)

Compound Poisson Processes with Two-Sided Reflection
by: Gusak, D. V., et al.
Published: (2002)

AN ANTHOLOGY OF THE DISTINGUISHED ACHIEVEMENTS IN SCIENCE AND TECHNIQUE. PART 30: PORTRAIT OF THE KHARKOV MATHEMATICIAN, MECHANICAL ENGINEER AND CYBERNETICIST VLADIMIR LOGVINOVICH RVACHEV
by: Baranov, M. I.
Published: (2016)

Concerning two approximate methods for solution of the Neumann nonlinear problems
by: Fam Ki An, et al.
Published: (1988)

Principle of additivity in averaging of degenerate nonlinear Dirichlet problems
by: Larin, D. V., et al.
Published: (1998)

Research of Processes of Spontaneous Ignition in an Stockpile with a Rectangular Section Using Rothe’s and Two-Sided Approximations Methods
by: Калініченко, Анатолій
Published: (2024)

Features of dynamic characteristics of regulation systems with one-sided and two-sided pulse-width modulations
by: Ya. V. Shcherbak, et al.
Published: (2023)

Asymptotic solutions of the Dirichlet problem for the heat equation with impulses
by: Matarazzo, G.
Published: (2006)

Asymptotic solutions of the Dirichlet problem for the heat equation with impulses
by: Matarazzo, G., et al.
Published: (2006)

Validating sectional blades application for wind turbines, construction and approximation methods
by: A. I. Jakovlev, et al.
Published: (2012)

Approximate Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Dirichlet Boundary Condition with a Bounded Control
by: Fardigola, Larissa, et al.
Published: (2026)

Compact-sized excimer laser with two-side preionization
by: S. M. Baschenko, et al.
Published: (2010)

Compact-sized excimer laser with two-side preionization
by: Baschenko, S.M., et al.
Published: (2010)

Analysis by the Method of Two-Sided Approximations of a Stationary Reaction–Diffusion Model in a Spherical Pellet with Arrhenius Kinetics
by: Пархоменко, Владислав
Published: (2026)

On a Class of Nonuniformly Nonlinear Systems with Dirichlet Boundary Conditions
by: G. A. Afrouzi, et al.
Published: (2014)

On a Class of Nonuniformly Nonlinear Systems with Dirichlet Boundary Conditions
by: Afrouzi, G. A., et al.
Published: (2014)

On a class of nonuniformly nonlinear systems with Dirichlet boundary conditions
by: Afrouzi, G.A., et al.
Published: (2014)

New conditions for averaging of nonlinear dirichlet problems in perforated domains
by: Skrypnik, I. V., et al.
Published: (1996)