Temat: Laplace - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Re-derivation of Laplace operator on curvilinear coordinates used for the computation of force acting in solenoid valves
Autorzy:: Goraj, R.
Powiązania:: https://bibliotekanauki.pl/articles/123027.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace operator
solenoid valve
armature
electromagnetic force
operator Laplace'a
zawór elektromagnetyczny
armatura
siła elektromagnetyczna
Opis:: This article presents two mathematical methods of derivation of the Laplace operator in a given curvilinear co-ordinate system. This co-ordinate system is defined in the area between the armature and the yoke of a high-speed solenoid valve (HSV). The Laplace operator can further be used for the numerical solving of the Laplace’s equation in order to determine the electromagnetic force acting on the armature of the HSV. In further steps the author derived an expression for the gradient and the vector surface element of the armature side surface in this co-ordinate system. The solution of the derivation was compared with one other solution derived in the past for the computational investigations on HSVs.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 25-38
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Analytical validation of the Finite Element Method model for Laplace equation
Autorzy:: Węgrzyn-Skrzypczak, Ewa
Skrzypczak, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/122738.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace equation
Fourier’s method
Finite Element Method
równanie Laplace'a
metoda Fouriera
metoda elementów skończonych
Opis:: The presented paper is focused on the comparison of the numerical solution of the Laplace equation in a two-dimensional space with the results obtained with the use of the analytical method. The results of the numerical model are computed on the base of the Finite Element Method. The analytical solution of the considered equation is obtained using the Fourier series. Finally the results of both methods are compared in order to verify the accuracy of numerical implementation.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 97-106
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
Autorzy:: Kumar, Prem
Qureshi, Sania
Powiązania:: https://bibliotekanauki.pl/articles/122736.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformacja Laplace'a
całka Riemann-Liouville
Opis:: Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

Tytuł:: Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator
Autorzy:: Kumar, Prem
Qureshi, Sania
Powiązania:: https://bibliotekanauki.pl/articles/1839810.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformacja Laplace'a
całka Riemann-Liouville
Opis:: Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed. In this research analysis, non-integer order ordinary differential equations are analytically solved via the Laplace-Carson integral transform technique, which is a technique that has not been previously employed to test the non-integer order differential systems. Firstly, it has proved that the Laplace-Carson transform for n-times repeated classical integrals can be computed by dividing the Laplace-Carson transform of the underlying function by n-th power of a real number p which later helped us to present a new result for getting the Laplace-Carson transform for d-derivative of a function under the Caputo operator. Some initial value problems based upon Caputo type fractional operator have been precisely solved using the results obtained thereof.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 57-66
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Algorithm of rebuilding a boundary of domain during creation of an optimal shape
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122780.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace equation
boundary element method
heat transfer
topological-shape sensitivity method
równanie Laplace'a
metoda elementów brzegowych
wymiana ciepła
Opis:: In order to achieve the desired topology we often have to remove material of the area considered. This work presents the author's algorithm which can be used in the reconstruction of the boundary of domain after elimination of a certain amount of material. The paper introduces some details about the procedure that allows one to achieve the expected shape of a domain. The topological-shape sensitivity method for the Laplace equation is used to obtain an optimal topology, whereas numerical methodology utilizes the boundary element method. In the conclusion of the paper the example of computation is shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 17-24
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: A design of an optimal shape of domain described by NURBS curves using the topological derivative and boundary element method
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122807.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Laplace equation
boundary element method
topological derivative
NURBS curves
równanie Laplace'a
metoda elementów brzegowych
pochodna topologiczna
krzywa NURBS
Opis:: The aim of this paper is to create an optimal shape of the 2D domain that is described by the Non-Uniform Rational B-Splines (NURBS) curves. This work presents a method based on the topological derivative for the Laplace equation that determines the sensitivity of a given cost function to the change of its topology. As a numerical approach, the boundary element method is considered. To check the effectiveness of the proposed approach, the example of computations was carried out.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 67-76
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Laplace transform solution of the problem of time-fractional heat conduction in a two-layered slab
Autorzy:: Kukla, S.
Siedlecka, U.
Powiązania:: https://bibliotekanauki.pl/articles/122281.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fractional heat conduction
two-layered slab
Laplace transformation
Opis:: In this paper the Laplace transformation for solving the problem of fractional heat conduction in a two-layered slab has been applied. The different orders of Caputo derivative in the time-fractional equation governed the heat transfer in the layers are assumed. The inverse Laplace transform by using a numerical method is determined. The numerical results obtained by using of the eigenfunctions method and by numerically inverting the Laplace transform are compared.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 105-113
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

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

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Skocz do pozycji: 10.

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

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Skocz do pozycji: 11.

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

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Skocz do pozycji: 12.

Tytuł:: Applying the topological derivative and the boundary element method to design of shape of the heat exchanger
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122334.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: topological derivative
topological sensitivity
Laplace equation
boundary element method
heat transfer
Opis:: In this work, the topological derivative for the Laplace equation is used to solve a design problem. This derivative describes the sensitivity of the problem when a small hole is formed at an arbitrary point of the domain. The goal of this work is to design topology of the domain when the Robin condition is imposed on the holes. Physically, the holes can be construed as cooling channels. For finding the solution of the governing equation the boundary element method is applied. The final part of the paper presents the design of the heat exchanger and results of computations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 5-12
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

Tytuł:: Determination of an optimal shape of domain using the topological derivative and the Boundary Element Method
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122328.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: topological derivative
topological sensitivity
topology optimization
heat transfer
Laplace equation
boundary element method
pochodna topologiczna
wrażliwość topologiczna
optymalizacja topologiczna
wymiana ciepła
równanie Laplace'a
metoda elementów brzegowych
Opis:: In the paper, the topological derivative for the Laplace equation is taken into account. The governing equation is solved by means of the Boundary Element Method. The topological-shape sensitivity method is used to determine the points showing the lowest sensitivities. On the selected points, material is eliminated by opening a hole, using the appropriate iterative process. This one is halted when a given amount of material is removed. The objective of this work is to obtain an optimal topology of the domain considered. In the final part of the paper, the example of computations is shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 41-48
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 14.

Tytuł:: Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:: Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:: https://bibliotekanauki.pl/articles/1839832.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:: In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:: Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:: https://bibliotekanauki.pl/articles/1839728.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:: In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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