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Wyszukujesz frazę "differential method" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    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
    Artykuł
    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
    Artykuł
    Tytuł:
    A numerical approximation of 2D coupled burgers’ equation using modified cubic trigonometric B-spline differential quadrature method
    Autorzy:
    Kapoor, Mamta
    Joshi, Varun
    Powiązania:
    https://bibliotekanauki.pl/articles/2174173.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Burgersa
    aerodynamika
    fala uderzeniowa
    differential quadrature method
    Runge-Kutta 43 scheme
    trigonometric B-spline
    Opis:
    In the present paper, trigonometric B-spline DQM is applied to get the approximated solution of coupled 2D non-linear Burgers’ equation. This technique, named modified cubic trigonometric B-spline DQM, has been used to obtain accurate and effective numerical approximations of the above-mentioned partial differential equation. For checking the compatibility of results, different types of test examples are discussed. A comparison is done between 2L and L∞ error norms with the previous, present results and with the exact solution. The resultant set of ODEs has been solved by employing the SSP RK 43 method. It is observed that the obtained results are improved compared to the previous numerical results in the literature.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 3; 79--102
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
    Tytuł:
    New iterative method of solving nonlinear equations in fluid mechanics
    Autorzy:
    Palivets, M.
    Andreev, E.
    Bakshtanin, A.
    Benin, D.
    Snezhko, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/2106452.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    trzęsienie ziemi
    mechanika płynów
    porowatość
    Adomian Decomposition Method ADM
    earthquake
    filtration
    fluid mechanics
    iterative method
    nonlinear fractional partial differential equations
    porous medium
    Opis:
    This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers’ equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation. Fractional derivatives of the order are described using Caputo's definition with 01<α≤ or 12<α≤. A comparative analysis of the results obtained using a new iterative method with those obtained by the Adomian decomposition method showed the first method to be more efficient and simple, providing accurate results in fewer computational operations. Given its flexibility and ability to solve nonlinear equations, the iterative method can be used to solve more complex linear and nonlinear fractional partial differential equations.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 3; 163--176
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical solution of the time fractional Fokker-Planck equation
    Autorzy:
    Sutradhar, T.
    Datta, B. K.
    Bera, R. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/955129.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Fokkera-Plancka
    równania różniczkowe
    mechanika stosowana
    Fokker-Planck equation
    Adomian decomposition method
    fractional calculus
    fractional differential equation
    Opis:
    A nonperturbative approximate analytic solution is derived for the time fractional Fokker-Planck (F-P) equation by using Adomian’s Decomposition Method (ADM). The solution is expressed in terms of Mittag-Leffler function. The present method performs extremely well in terms of accuracy, efficiency and simplicity.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 435-440
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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