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Wyszukujesz frazę "transformata" wg kryterium: Temat


Wyświetlanie 1-11 z 11
Tytuł:
Analysis of advanced techniques of image processing based on automatic detection system and road sings recognition
Autorzy:
Smorawa, D.
Kubanek, M.
Powiązania:
https://bibliotekanauki.pl/articles/122301.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
image processing
image detection
radon transform
Hough transform
przetwarzanie obrazów
transformata Radona
transformata Hough'a
Opis:
This paper describes implementations of the Hough Circle Transform and the Radon Line Transform. The presented transforms were used to build a system for identifying road signs from selected images and recordings. This can be very important and especially useful for monitoring and prevention in driver assistance systems. The design of our system assumed that the objects should be found automatically from images or video sequence. Furthermore, the detection was based on the shapes of common traffic signs which correspond to used transforms. Additionally, the Huffman method was applied to encode the data before being compared. Consequently, the traffic signs were matched directly with the Euclidean distance.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 103-113
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact solution for heat conduction inside a sphere with heat absorption using the regularized Hilfer-Prabhakar derivative
Autorzy:
Elhadedy, Hager
Latif, Mohamed S. Abdel
Nour, Hamed M.
Kader, Abbas H. Abdel
Powiązania:
https://bibliotekanauki.pl/articles/2175524.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional derivatives
Laplace transform
finite sine-Fourier transform
heat transfer
pochodne ułamkowe
transformata Laplace'a
skończona transformata sinusoidalna-Fouriera
wymiana ciepła
Opis:
In this article, we utilize the finite Sine-Fourier transform and the Laplace transform for solving fractional partial differential equations with regularized Hilfer-Prabhakar derivative. These transforms are used to get analytical solutions for the time fractional heat conduction equation (TFHCE) with the regularized Hilfer-Prabhakar derivative associated with heat absorption in spherical coordinates. Two cases of Dirichlet boundary conditions are considered by obtaining an analytical solution in each case. The effect of the parameters of the regularized Hilfer-Prabhakar derivative on the heat transfer inside the sphere is discussed using some figures.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 27--37
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of solutions of the 1D fractional Cattaneo heat transfer equation
Autorzy:
Siedlecka, Urszula
Ciesielski, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/2175501.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
heat transfer
Cattaneo equation
fractional Caputo derivative
Laplace transform
Fourier transform
wymiana ciepła
równanie Cattaneo
pochodna ułamkowa Caputo
transformata Laplace'a
transformata Fouriera
Opis:
In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo derivative. The Fourier-Laplace transform technique is used to determine a solution of the considered problem. The numerical inversion of the Laplace transforms is applied. The effect of the order of the fractional derivative on the temperature distribution is investigated.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 4; 87--98
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some closed form series solutions for the time-fractional diffusion-wave equation in polar coordinates with a generalized Caputo fractional derivative
Autorzy:
Elkott, Ibrahim
Abdel-Latif, Mohamed S.
El-Kalla, Ibrahim L.
Abdel Kader, Abass H.
Powiązania:
https://bibliotekanauki.pl/articles/24201502.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized time-fractional Caputo derivative
generalized Laplace transform
Hankel transform
diffusion-wave equation
uogólniona ułamkowa pochodna Caputo w czasie
uogólniona transformata Laplace'a
transformata Hankela
równanie fali dyfuzyjnej
Opis:
In this paper, we obtain some closed form series solutions for the time fractional diffusion-wave equation (TFDWE) with the generalized time-fractional Caputo derivative (GTFCD) associated with a source term in polar coordinates. These solutions are found using generalized Laplace and Hankel transforms. We obtained the closed form series solutions in the form of the Polygamma function. The effect of the fractional order derivative on the diffusion-wave variable is illustrated graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 5--14
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The fundamental solutions to the central symmetric time-fractional heat conduction equation with heat absorption
Autorzy:
Povstenko, Y.
Klekot, J.
Powiązania:
https://bibliotekanauki.pl/articles/122778.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
non-Fourier heat conduction
Caputo fractional derivative
heat absorption
Laplace integral transform
Fourier transform
Mittag-Leffler function
przewodzenie ciepła
pochodna ułamkowa Caputo
absorpcja ciepła
transformata Laplace'a
transformata Fouriera
funkcja Mittag-Lefflera
Opis:
The time-fractional heat conduction equation with heat absorption proportional to temperature is considered in the case of central symmetry. The fundamental solutions to the Cauchy problem and to the source problem are obtained using the integral transform technique. The numerical results are presented graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 101-112
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using Shehu integral transform to solve fractional order Caputo type initial value problems
Autorzy:
Qureshi, Sania
Kumar, Prem
Powiązania:
https://bibliotekanauki.pl/articles/122809.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformata Laplace'a
całka Riemann-Liouville
Opis:
In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique. In this regard, we have presented the proof of finding the Shehu transform for a classical nth order integral of a piecewise continuous with an exponential nt h order function which leads towards devising a theorem to yield exact analytical solutions of the problems under investigation. Varying fractional types of problems are solved whose exact solutions can be compared with solutions obtained through existing transformation techniques including Laplace and Natural transforms.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 75-83
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the use of Mohand integral transform for solving fractional-order classical Caputo differential equations
Autorzy:
Qureshi, Sania
Yusuf, Abdullahi
Aziz, Shaheen
Powiązania:
https://bibliotekanauki.pl/articles/1839755.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
initial value problem
kinetic reaction
Riemann-Liouville integral
transformata całkowa Mohanda
całka Mohanda
całka Riemanna-Liouville'a
reakcja kinetyczna
Opis:
In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully been employed in existing literature to solve classical ordinary differential equations. Here, a few significant and practically-used differential equations of the fractional type, particularly related with kinetic reactions from chemical engineering, are under consideration for the possible outcomes via the Mohand integral transform. A new theorem has been proposed whose proof, provided in the present study, helped to get the exact solutions of the models under investigation. Upon comparison, the obtained results would agree with results produced by other existing well-known integral transforms including Laplace, Fourier, Mellin, Natural, Sumudu, Elzaki, Shehu and Aboodh.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 99-109
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Image denoising using new wavelet thresholding function
Autorzy:
Dehda, B.
Melkemi, K.
Powiązania:
https://bibliotekanauki.pl/articles/122959.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
wavelet transform
image denoising
wavelet thresholding
wavelet shrinkage rules
peak signal to noise ratio
PSNR
transformata falkowa
falka
odszumianie obrazu
Opis:
In this paper, we propose a new image denoising method based on wavelet thresholding. In this method, we introduce a new nonlinear thresholding function characterized by a shape parameter and basic properties. These characteristics make the new method able to achieve a compromise between both traditional thresholding techniques such as Hard and Soft thresholding. The experimental results show that our proposed method provides better performance compared to many classical thresholding methods in terms of the visual quality of the denoised image.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 55-65
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate analytical solution to the Cattaneo heat conduction model with various laser sources
Autorzy:
Nuruddeen, Rahmatullah Ibrahim
Powiązania:
https://bibliotekanauki.pl/articles/2175505.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Cattaneo model
heat conduction
laser heating
Laplace transform
numerical inversion
model Cattaneo
przewodzenie ciepła
nagrzewanie laserowe
transformata Laplace'a
inwersja numeryczna
Opis:
The present manuscript investigates the role being played by various laser short heating sources in a conduction process of a metallic substrate. The Cattaneo heat conduction model is considered in favour of its finiteness of conduction speed. The analytical solutions for the temperature fields are determined via the application of the Laplace integral transform. Finally, we sought a numerical Laplace inversion scheme where the analytical inversion failed and graphically examined the significance of the heating parameters on the temperature fields.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 1; 67--78
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional heat conduction in a rectangular plate with bending moments
Autorzy:
Warbhe, Shrikant
Powiązania:
https://bibliotekanauki.pl/articles/1839729.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Mittag-Leffler function
integral transform
fractional partial differential equation
fractional derivatives
fractional integrals
ułamkowe równanie różniczkowe cząstkowe
funkcja Mittag-Lefflera
pochodna ułamkowa
naprężenia termiczne
przewodzenia ciepła
transformata całkowa
Opis:
In this research work, we consider a thin, simply supported rectangular plate defined as 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ c and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative. The constant temperature is prescribed on the surface y = 0 and other surfaces are maintained at zero temperature. A powerful technique of integral transform is used to find the analytical solution of initial-boundary value problem of a thin rectangular plate. The numerical result of temperature distribution, thermal deflection and thermal stress component are computed and represented graphically for a copper plate.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 115-126
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional heat conduction in a rectangular plate with bending moments
Autorzy:
Warbhe, Shrikant
Powiązania:
https://bibliotekanauki.pl/articles/1839752.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Mittag-Leffler function
integral transform
fractional partial differential equation
fractional derivatives
fractional integrals
ułamkowe równanie różniczkowe cząstkowe
funkcja Mittag-Lefflera
pochodna ułamkowa
naprężenia termiczne
przewodzenia ciepła
transformata całkowa
Opis:
In this research work, we consider a thin, simply supported rectangular plate defined as 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ c and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative. The constant temperature is prescribed on the surface y = 0 and other surfaces are maintained at zero temperature. A powerful technique of integral transform is used to find the analytical solution of initial-boundary value problem of a thin rectangular plate. The numerical result of temperature distribution, thermal deflection and thermal stress component are computed and represented graphically for a copper plate.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 115-126
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-11 z 11

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