Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Damian Słota"'
Publikováno v:
Symmetry, Vol 16, Iss 6, p 667 (2024)
This paper presents the numerical solution of the heat conduction model with a fractional derivative of the Riemann–Liouville type with respect to the spatial variable. The considered mathematical model assumes the dependence on temperature of the
Externí odkaz:
https://doaj.org/article/381e4fa65fca4d45bba3aebfd1e83aa2
Publikováno v:
Symmetry, Vol 15, Iss 4, p 782 (2023)
The paper presents a solution to the problem related to the reconstruction of parameters in the mathematical model of bacterial colony patterns in a domain with symmetry. The inverse problem consists of determining the value of the diffusion coeffici
Externí odkaz:
https://doaj.org/article/6a857040435f43ac869dbc964ea94b8b
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 224 (2023)
This paper focuses on the usage of the homotopy analysis method (HAM) to solve the fractional heat conduction equation. In the presented mathematical model, Caputo-type fractional derivatives over time or space are considered. In the HAM, it is not n
Externí odkaz:
https://doaj.org/article/3428341808b845fc97b3934028232165
Publikováno v:
Journal of Applied Mathematics and Computational Mechanics, Vol 19, Iss 1, Pp 103-112 (2020)
Externí odkaz:
https://doaj.org/article/6725452caedd45009b77b49d6a89c77d
Publikováno v:
Sensors, Vol 23, Iss 3, p 1722 (2023)
In recent times, fractional calculus has gained popularity in various types of engineering applications. Very often, the mathematical model describing a given phenomenon consists of a differential equation with a fractional derivative. As numerous st
Externí odkaz:
https://doaj.org/article/1dc586f3bbdf4c2a8fabe99e6af3a111
Autor:
Agata Chmielowska, Damian Słota
Publikováno v:
Symmetry, Vol 14, Iss 11, p 2287 (2022)
The aim of this paper is the adaptation of the alternating phase truncation (APT) method for solving the two-phase time-fractional Stefan problem. The aim was to determine the approximate temperature distribution in the domain with the moving boundar
Externí odkaz:
https://doaj.org/article/70cfee0c65b445638622e5afcfe88c1f
Autor:
Grazia Lo Sciuto, Christian Napoli, Paweł Kowol, Giacomo Capizzi, Rafał Brociek, Agata Wajda, Damian Słota
Publikováno v:
Sensors, Vol 22, Iss 19, p 7486 (2022)
In order to obtain optimized elementary devices (photovoltaic modules, power transistors for energy efficiency, high-efficiency sensors) it is necessary to increase the energy conversion efficiency of these devices. A very effective approach to achie
Externí odkaz:
https://doaj.org/article/deba73ddb3ad40e6bee978bcdc380f1b
Publikováno v:
Sensors, Vol 22, Iss 9, p 3153 (2022)
In recent times, many different types of systems have been based on fractional derivatives. Thanks to this type of derivatives, it is possible to model certain phenomena in a more precise and desirable way. This article presents a system consisting o
Externí odkaz:
https://doaj.org/article/533f2ddcab4d49498e96ea47f8197481
Publikováno v:
Energies, Vol 14, Iss 11, p 3082 (2021)
The article presents a method for solving the inverse problem of a two-dimensional anomalous diffusion equation with a Riemann–Liouville fractional-order derivative. In the first part of the present study, the authors present a numerical solution o
Externí odkaz:
https://doaj.org/article/9496528dcfc44d7ca2cf638fd4b9e166
Publikováno v:
Energies, Vol 13, Iss 20, p 5474 (2020)
The paper presents an application of the homotopy analysis method for solving the one-phase fractional inverse Stefan design problem. The problem was to determine the temperature distribution in the domain and functions describing the temperature and
Externí odkaz:
https://doaj.org/article/9cc54fc58429402b9e6821683dce5877