Temat: differential transform method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Free vibration analysis of isotropic rectangular plates on Winkler foundation using differential transform method
Autorzy:: Kumar, Y.
Powiązania:: https://bibliotekanauki.pl/articles/265747.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: metoda transformacji
izotropia
differential transform method
isotropic
rectangular
Winkler foundation
Opis:: A differential transform method (DTM) is used to analyze free transverse vibrations of isotropic rectangular plates resting on a Winkler foundation. Two opposite edges of the plates are assumed to be simply supported. This semi-numerical-analytical technique converts the governing differential equation and boundary conditions into algebraic equations. Characteristic equations are obtained for three combinations of clamped, simply supported and free edge conditions on the other two edges, keeping one of them to be simply supported. Numerical results show the robustness and fast convergence of the method. Correctness of the results is shown by comparing with those obtained using other methods.
Źródło:: International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 589-597
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Application of the multi-step differential transform method to solve a fractional human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
Autorzy:: Zurigat, M.
Ababneh, M.
Powiązania:: https://bibliotekanauki.pl/articles/357712.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: fractional differential equations
differential transform method
HTLV-I
numerical solution
równanie różniczkowe cząstkowe
obliczenia numeryczne
Opis:: Human T-cell Lymphotropic Virus I (HTLV-I) infection of $CD4^{+}$ T-Cells is one of the causes of health problems and continues to be one of the significant health challenges. In this article, a multi-step differential transform method is implemented to give approximate solutions of fractional modle of HTLV-I infection of $CD4^{+}$ T-cells. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method in the case of intger-order derivatives. The suggested method is efficient as the Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method.
Źródło:: Journal of Mathematics and Applications; 2015, 38; 171-180
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Application of the differential transform method to the free vibration analysis of functionally graded timoshenko beams
Autorzy:: Özdemir, Ö.
Powiązania:: https://bibliotekanauki.pl/articles/281244.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: differential transform method
functionally graded beam
Timoshenko beam
Opis:: In this study, free vibration characteristics of a functionally graded Timoshenko beam that undergoes flapwise bending vibration is analysed. The energy expressions are derived by introducing several explanotary figures and tables. Applying Hamilton’s principle to the energy expressions, governing differential equations of motion and boundary conditions are obtained. In the solution part, the equations of motion, including the parameters for rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM). Natural frequencies are calculated and effects of several parameters are investigated.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1205-1217
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Integral equation of the Volterra type: an application to a firm-sponsored off-the-job training
Autorzy:: Ekhosuehi, Virtue U
Powiązania:: https://bibliotekanauki.pl/articles/748734.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: firm
production function
Volterra integral equation
firm, differential transform method, production function, Volterra integral equatio
Opis:: W artykule poszukuje sie funkcji produkcji pojedynczego produktu w przedsiebiorstwie finansującym szkolenia ze środków uzyskanych ze sprzedazy tego produktu. Funkcja produkcji ma zalozona forme równania całkowego Volterry a kryterium optymalizacji jest krótkoterminowa maksymalizacja zysku, w którym praca jest jedynym czynnikiem produkcji. W badaniu wykorzystano funkcję Cobba-Douglasa z ustalona iloscia kapitału. Wyniki wskazują, że otrzymana funkcja produkcji firmy jest funkcją analityczną, a wymagana część zysku potrzebna do sfinansowania szkolenia leży w przedziale z określoną górną granicą.
This paper is concerned with deriving, using the Volterra integral equation, a production function for a single product firm financing off-the-job training from its revenue from output. The short-run scenario where labour is the only variable factor of production is studied within the ambit of the law of diminishing returns and the condition for profit-maximization. The study utilizes the Cobb-Douglas production function wherein capital is fixed as a theoretical underpinning. The results indicate that the production function of the firm is a transcendental function and that the proportion of output required to finance the training lies within an interval with a definite upper bound.
Źródło:: Mathematica Applicanda; 2016, 44, 2
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Mixed convective fully developed flow in a vertical channel in the presence of thermal radiation and viscous dissipation
Autorzy:: Prasad, K. V.
Mallikarjun, P.
Vaidya, H.
Powiązania:: https://bibliotekanauki.pl/articles/265697.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: mixed convection
thermal radiation
viscous dissipation
Differential Transform Method (DTM)
Perturbation Method (PM)
konwekcja mieszana
promieniowanie cieplne
metoda transformacji różnicowej
metoda zakłóceń
Opis:: The effect of thermal radiation and viscous dissipation on a combined free and forced convective flow in a vertical channel is investigated for a fully developed flow regime. Boussinesq and Roseseland approximations are considered in the modeling of the conduction radiation heat transfer with thermal boundary conditions (isothermal-thermal, isoflux-thermal, and isothermal-flux). The coupled nonlinear governing equations are also solved analytically using the Differential Transform Method (DTM) and regular perturbation method (PM). The results are analyzed graphically for various governing parameters such as the mixed convection parameter, radiation parameter, Brinkman number and perturbation parameter for equal and different wall temperatures. It is found that the viscous dissipation enhances the flow reversal in the case of a downward flow while it counters the flow in the case of an upward flow. A comparison of the Differential Transform Method (DTM) and regular perturbation method (PM) methods shows the versatility of the Differential Transform Method (DTM). The skin friction and the wall temperature gradient are presented for different values of the physical parameters and the salient features are analyzed.
Źródło:: International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 123-144
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Investigation of a Jeffery-Hamel flow between two rectangular inclined smooth walls using the differential Transform Method
Autorzy:: Patel, N. D.
Meher, R.
Powiązania:: https://bibliotekanauki.pl/articles/122393.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Differential Transform Method
Jeffery-Hamel flow
higher order non-linear ordinary differential equation
metoda transformacji różnicowej
DTM
przepływ Jeffery-Hamela
nieliniowe równanie różniczkowe
Opis:: In this article, the Differential Transform Method (DTM) is applied to derive a semi-analytic solution for the non-linear MHD (Magneto Hydro Dynamics) Jeffery-Hamel flow between rectangular inclined smooth planes. A non-linear ordinary differential equation of order four is obtained from Navier-Stokes equations using similar transformation. A comparison between DTM, PM (Perturbation Method) and numerical solution is shown here to validate the obtained results with its convergence analysis for different values of m and a Reynolds number in divergent channels.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 47-57
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 study on magneto hydrodynamics Jeffery-Hamel flow with heat transfer problem in Eyring-Powell fluid using differential transform method
Autorzy:: Meher, Ramakanta
Patel, N. D.
Powiązania:: https://bibliotekanauki.pl/articles/122591.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Differential Transform Method
Jeffery-Hamel flow
Eyring-Powell fluid
heat transfer
metoda transformacji różnicowej
przepływ Jeffery-Hamela
przenikanie ciepła
płyn Eyringa-Powella
Opis:: In this paper, we study and analyse the variations of velocity profiles for different values of the Reynolds number, Eckert number, Prandtl number and Hartmann number in the Magneto Hydrodynamics Jeffery-Hamel flow with heat transfer in Eyring-Powell fluid in both divergent and convergent channels. The Differential Transform Method (DTM) is used to obtain an analytical solution of the Jeffery Hamel flow problem and to determine the velocity profiles of the fluid flow. Finally, the efficiency of DTM has been shown, and the results have been validated by comparing the obtained results with the numerical results (fourth order RK method) in both convergent and divergent channels.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 57-68
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:: The Generalized Differential Transform Method for solution of a free vibration linear differential equation with fractional derivative damping
Autorzy:: Das, Deepanjan
Powiązania:: https://bibliotekanauki.pl/articles/122961.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fractional differential equations
Caputo fractional derivative
generalized
differential transform method
analytic solution
ułamkowe równania różniczkowe
ułamkowa pochodna Caputo
metoda transformacji różnicowej
rozwiązanie analityczne
ułamkowe równanie różniczkowe
Opis:: In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative damping. The fractional derivatives are described in the Caputo sense.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 19-29
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:: A new modification of the reduced differential transform method for nonlinear fractional partial differential equations
Autorzy:: Khalouta, Ali
Kadem, Abdelouahab
Powiązania:: https://bibliotekanauki.pl/articles/1839758.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: nonlinear fractional partial differential equations
Caputo fractional derivative
Shehu transform method
reduced differential transform method
approximate analytical solution
nieliniowe równania różniczkowe cząstkowe ułamkowe
pochodna ułamkowa Caputo
metoda transformacji Shehu
metoda transformacji różnicowej
Opis:: The objective of this study is to present a new modification of the reduced differential transform method (MRDTM) to find an approximate analytical solution of a certain class of nonlinear fractional partial differential equations in particular, nonlinear time-fractional wave-like equations with variable coefficients. This method is a combination of two different methods: the Shehu transform method and the reduced differential transform method. The advantage of the MRDTM is to find the solution without discretization, linearization or restrictive assumptions. Three different examples are presented to demonstrate the applicability and effectiveness of the MRDTM. The numerical results show that the proposed modification is very effective and simple for solving nonlinear fractional partial differential equations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 45-58
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:: A review: differential transform method for semi-analytical solution of differential equations
Autorzy:: Rashidi, M. M.
Rabiei, F.
Naser Nia, S.
Abbasbandy, S.
Powiązania:: https://bibliotekanauki.pl/articles/265637.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: metoda transformacji różniczkowej
równania różniczkowe
metoda półanalityczna
differential transform method
differential transform - Pad'e approximation
semi-analytical method
differential equations
fuzzy differential transformation method
gS-differentiability
Opis:: In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed. First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. Then both techniques of DTM and DTM-Padé, which have been successfully applied to partial differential equations, as well as the application of these methods in fluid mechanic and heat transfer are presented. In addition, the extension of DTM for integral differential equations and the fuzzy differential transformation method (FDTM) for fuzzy problems are discussed.
Źródło:: International Journal of Applied Mechanics and Engineering; 2020, 25, 2; 122-129
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: Series Solution of Nonlinear Ordinary Differential Equations Using Single Laplace Transform Method in Mathematical Physics
Autorzy:: Mbagwu, JP. C.
Madububa, B. I.
Nwamba, J. I.
Powiązania:: https://bibliotekanauki.pl/articles/1193352.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Adomian polynomials
Single Laplace transform method
nonlinear ordinary differential equations
Opis:: In this paper, a novel technique is created to enable the extension of the single Laplace transform method (SLTM) to solve nonlinear ordinary differential equations (ODEs) is presented. The main parts of the recommended technique are the Adomian polynomials. By developing several theorems, which include the Laplace transformation of nonlinear expressions, the Adomian polynomials are made possible. Several famous nonlinear equations including the Blasius equation, the Poisson Boltzmann equation, and numerous extra problems relating nonlinearities of many types such as exponential and sinusoidal are resolved for description. As it was revealed in the specified equations, and problems, our technique is conceptually and computationally simple. Some nonlinear examples are taken from the literature for checking the validation and convergence of the proposed technique. The suggested method is methodical, precise, then restricted to integration.
Źródło:: World Scientific News; 2021, 154; 152-174
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: The homotopy analysis Rangaig transform method for nonlinear partial differential equations
Autorzy:: Ziane, Djelloul
Cherif, Mountassir Hamdi
Powiązania:: https://bibliotekanauki.pl/articles/2175522.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Rangaig transform method
homotopy analysis method
nonlinear partial differential equations
metoda transformacji Rangaiga
metoda analizy homotopii
nieliniowe równania różniczkowe cząstkowe
Opis:: The idea suggested in this article is to combine the Rangaig transform with the homotopy analysis method in order to facilitate the solution of nonlinear partial differentia equations. This method may be called the homotopy analysis Rangaig transform method (HARTM). The proposed example results showed that HARTM is an effective method for solving nonlinear partial differential equations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 111--122
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:: On the semi-analytic technique to deal with nonlinear fractional differential equations
Autorzy:: Khirsariya, Sagar R.
Rao, Snehal B.
Powiązania:: https://bibliotekanauki.pl/articles/2202059.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fractional differential equation
logistic equation
Fornberg-Whitham equation
homotopy perturbation method
Sawi transform
ułamkowe równanie różniczkowe
równanie logistyczne
równanie Fornberga-Whithama
metoda perturbacji homotopii
Opis:: In this article, we present a novel hybrid approach, by combining the Sawi transform with the homotopy perturbation method, to achieve the approximate and analytic solutions of nonlinear fractional differential equations (ODE as well as PDE) using the time-fractional Caputo derivative. The proposed algorithm is faster and simple compared to other iterative methods. The Sawi transform is used along with the homotopy perturbation method to accelerate the convergence of the series solution. The results discussed using calculations, graphs and tables are compatible for comparison with other known methods like the residual power series method and the exact solution which are discussed in the literature.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 17--30
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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