Temat: generalized Laplace transform - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Interaction due to mechanical source in generalized thermo microstretch elastic medium
Autorzy:: Singh, R.
Kumar, V.
Powiązania:: https://bibliotekanauki.pl/articles/955155.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: transformacja Laplace'a
termosprężystość
pole elektromagnetyczne
generalized thermo-microstretch
eigenvalue
Laplace transform
Hankel transform
mechanical source
Opis:: The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a generalized thermo microstretch elastic medium for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to obtain normal displacement, normal force stress, couple stress and microstress in the physical domain. Numerical results are shown graphically.
Źródło:: International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 347-363
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Generalized thermoelastic functionally graded half space under surface absorption of laser radiation
Autorzy:: Allam, M. N. M.
Tayel, I. M.
Powiązania:: https://bibliotekanauki.pl/articles/279539.pdf
Data publikacji:: 2017
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: laser pulse
generalized thermoelasticity
non-homogeneous medium
numerical inverse of Laplace transform
Opis:: The subject of this paper is to study the thermoelastic behavior of a functionally graded semi-infinite medium heated uniformly by a laser beam having temporally Gaussian distribution. The surface of the medium is taken as traction free. The general solution is obtained in the Laplace transform domain. The inverse of the Laplace transform is computed numerically using the Riemann-sum approximation method. The numerical results for temperature, displacement and stress are obtained and presented graphically for the generalized theory of thermo-elasticity with one relaxation time.
Źródło:: Journal of Theoretical and Applied Mechanics; 2017, 55, 1; 155-165
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Eigen value approach to generalized thermoelastic interactions in an unbounded body with circular cylindrical cavity without energy dissipation
Autorzy:: Chakraborty, S.
Powiązania:: https://bibliotekanauki.pl/articles/264348.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: eigen value approach
generalized thermoelasticity
Laplace transform
vector-matrix differential equation
termoelastyczność
transformata Laplace'a
równanie różniczkowe
macierze
Opis:: The theory of generalized thermoelasticity in the context of the Green-Naghdi model -II (thermoelasticity without energy dissipation) is studied for an infinite circular cylindrical cavity subjected to two different cases of thermoelastic interactions when the radial stress is zero for (a) maintaining constant temperature and (b) temperature is varying exponentially with time. The Laplace transform from time variable is used to the governing equations to formulate a vector matrix differential equation which is then solved by the eigen value approach. Numerical computations for the displacement component, temperature distribution and components of thermal stress have been made and presented graphically.
Źródło:: International Journal of Applied Mechanics and Engineering; 2017, 22, 4; 811-825
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

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