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Wyszukujesz frazę "Differential Transformation Method" wg kryterium: Temat

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    Wyświetlanie 1-12 z 12
    Tytuł:
    Application of Differential Transform Method to triple diffusion convective boundary layer flow of Casson nanofluid over a horizontal plate
    Autorzy:
    Asha, S. K.
    Mali, Gayitri
    Powiązania:
    https://bibliotekanauki.pl/articles/1839391.pdf
    Data publikacji:
    2021
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential Transformation Method
    Casson nanofluid
    horizontal plate
    Opis:
    In this paper, triple diffusive convective boundary layer flow of Casson nanofluid along a horizontal plate is investigated theoretically when nonlinear thermal radiation impact is considered. The suitable similarity transformations is utilized for the reduction of a set of basic governing nonlinear PDEs into nonlinear non-dimensional ODEs. By using differential Transform Method (DTM) with the help of symbolic software Mathematica, the reduced nonlinear non-dimensional ordinary differential equations are solved. Further, velocity, temperature, solutal and nanofluid concentration profiles are presented graphically and studied in details by using various physical parameters.
    Źródło:
    World Scientific News; 2021, 162; 161-178
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Differential Transform Method for the Kinetic Analysis of Thermal Inactivation of Enzyme as Applied in Biotechnology
    Autorzy:
    Adeleye, O. A.
    Sobamowo, M. G.
    Akinnukawe, B. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031487.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Enzyme
    Kinetic analysis
    Thermal inactivation
    Opis:
    In this work, approximate analytical solution is developed using differential transformation method for finding the molar concentration of the native and denatured enzyme in terms of second-order rate constant. Also, the obtained solutions are used to study the kinetics of thermal inactivation of enzyme as applied in biotechnology. The analytical solution was validated with numerical solution using fourth- order Runge-Kutta. Good agreement was established between the numerical and approximated analytical solutions.
    Źródło:
    World Scientific News; 2020, 142; 135-149
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical investigation of heat transfer in a moving convective porous fin with temperature dependent thermal conductivity and internal heat generation
    Autorzy:
    Sobamowo, M. G.
    Waheed, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031762.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Convective fin
    Differential transformation method
    Moving fin
    Porous Fin
    Thermal analysis
    Opis:
    In the present study, thermal performance of a rectangular moving porous fin with temperature dependent thermal conductivity and internal heat generation are analyzed the differential transformation method. The developed approximate analytical solutions are used to investigate the effects of thermal –geometric and thermo-physical fin parameters such as the Peclet number, thermal conductivity parameter, convection parameter, porosity parameter, Internal heat generation parameter on the dimensionless temperature distribution and heat transfer rate are discussed. From the results, it is found that increase in porosity and convective parameters, the rate of heat transfer from the fin increases and consequently improve the efficiency of the fin. Also, the values of the temperature distribution in the fin increases as the Peclet number increases. However, as thermal conductivity and the internal heat generation increase, the rate of heat transfer from the fin decreases. The analytical solution is found to be in good agreement with the direct numerical solution.
    Źródło:
    World Scientific News; 2020, 150; 1-21
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Analysis of Jump and Bifurcation Phenomena in a Forced Vibration of Geometrical Nonlinear Cantilever Beam: Application of Differential Transformation Method
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Adeleye, O. A.
    Oyelade, A. O.
    Sadiq, O. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031911.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Bifurcation Phenomenon
    Differential transformation method
    Jump phenomenon
    Nonlinear vibration
    Phase plane
    Opis:
    One of the classical features exhibited in nonlinear dynamics of engineering systems is the jump phenomenon, which is the discontinuous change in the steady state response of a system as a parameter is slowly varied. Such phenomenon is characterized by large amplitude dynamic responses of systems to small amplitude disturbances. It is established that this phenomenon cannot be described by the standard asymptotic and perturbation methods because they are limited to the study of small amplitude responses to small disturbances. Therefore, this paper presents the application of differential transformation method-Padé approximant to the solution of jump and bifurcation phenomena for a geometrical nonlinear cantilever beam subjected to a harmonic excitation. The accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through a comparison of the results of the analytical solution with the corresponding results of the numerical solution obtained by fourth-order Runge-Kutta method and also with the results in a past study using harmonic balancing method. With the aid of the differential transformation method-Padé approximant, the effects of the nonlinear parameters in the model equation on the dynamic response of the beam are investigated. Also, the sensitivity of the beam to the external excitation amplitude is analyzed. In the distributed forced vibration, the jump phenomenon appeared in the response amplitude by variation of the excitation frequency while in the resonance frequency, the beat phenomenon with harmonic motion is seen for low level of excitation amplitude. At a certain frequency, the jump and bifurcation phenomena are seen in the curves of responses versus excitation amplitude. Additionally, the plots of the phase plane and time history of the system response are shown. It is established that the differential transformation method is a very useful mathematical tool for dealing with the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 140; 26-58
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Efficiency of Differential Transformation Method to the Solutions of Large Amplitude Nonlinear Oscillation Systems
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Adeleye, O. A.
    Alozie, S. I.
    Salawu, S. A.
    Salami, M. O.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031949.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Large amplitude
    Oscillation system
    Strong nonlinearity
    Opis:
    In this work, the efficiency of differential transformation method to the solutions of large amplitude nonlinear oscillatory systems is further established. Two cases of oscillation systems, nonlinear plane pendulum and pendulum in a rotating plane are considered. Without any linearization, discretization or series expansion of the sine and cosine of the angular displacement in the nonlinear models of the systems, the differential transformation method with Padé approximant is used to provide analytical solutions to the nonlinear problems. Also, the increased predictive power and the high level of accuracy of the differential transformation method over the previous methods are presented. The extreme accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method. Also, with the aid of the analytical solutions, parametric studies were carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 139, 1; 1-60
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis for iron micro-particles in a gaseous oxidizing medium
    Autorzy:
    Yinusa, A. A.
    Sobamowo, M. G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1046539.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential transformation method
    Homotopy perturbation method
    Iron particle combustion
    Temperature distribution
    Thermal radiation
    Opis:
    In this paper, a comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis of iron micro-particles in a gaseous oxidizing medium is presented. Also, parametric studies are carried out to properly understand the reaction of the process and the associated burning time. Thermal radiation effect from the external surface of burning particle and variation of iron particle density with temperature are considered. The solutions obtained by DTM and HPM are compared with those of the fourth order Runge-Kutta numerical method. Results show that DTM has more accurate results between the two approximate analytical methods considered. Also, results show that by increasing the heat realized parameter, combustion temperature increased and it faster reaches to its constant value. It is envisaged that the present study will create tremendous insight into means of properly managing combustible micro particles exiting factories and production process organization.
    Źródło:
    World Scientific News; 2019, 138, 2; 93-112
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effects of Internal Heat Generation on the Thermal Stability of a Porous Fin
    Autorzy:
    Sobamowo, M. G.
    Jayesimi, L. O.
    Waheed, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031875.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential Transformation Method
    Porous Fin
    Temperature-Dependent Internal Heat Generation
    Thermal analysis
    Thermal performance
    Opis:
    In this study, the effects of internal heat generation on thermal stability of porous fin is theoretical investigated using differential transform method. The parametric studies reveal increase in the internal heat generation leads to increase in the value or the range of the thermal stability of the fin. The internal heat generation can be used to control the thermal instability in the fin. Also, as the porosity parameter increase, the rate of heat transfer from the base of the fin and consequently improve the efficiency of the fin increase. However, a high value or an excessive internal heat generation results in an undesirable situation where some of the heat energy cannot escape to the sink and instead ends up flowing into the prime surface and the fin tends to store heat rather than dissipating it. This scenario defeats the prime purpose of the cooling fin. Therefore, the operational parameters must be carefully selected to ensure that the fin retains its primary purpose of removing heat from the primary surface.
    Źródło:
    World Scientific News; 2020, 149; 110-127
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear Analysis of a Large-Amplitude Forced Harmonic Oscillation System using Differential Transformation Method-Padé Approximant Technique
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Oyekeye, M. O.
    Folorunsho, S. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031931.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Large amplitude; Oscillation system; Strong nonlinearity; Forced vibration; Differential transformation method-Padé approximant techniques
    Opis:
    This work presents the nonlinear analysis of forced harmonic oscillation system using differential transformation method-Padé approximant techniques. Without any series expansion of the included sine and cosine of the angular displacement in the nonlinear model of the system, an improved analytical solution of the dynamic model is presented. The high level of accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method, homotopy perturbation method and energy balance methods. Also, with the aid of the analytical solutions, parametric studies are carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 140; 139-155
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    Nonlinear mechanics of a compliant beam system undergoing large curvature deformation
    Autorzy:
    Akano, Theddeus Tochukwu
    Olayiwola, Patrick Shola
    Powiązania:
    https://bibliotekanauki.pl/articles/1845010.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    compliant beam
    differential transformation method
    large deformation
    nonlinear equation
    mechanics
    metoda transformacji różniczkowej
    duże odkształcenie
    równanie nieliniowe
    mechanika
    Opis:
    A compliant beam subjected to large deformation is governed by a multifaceted nonlinear differential equation. In the context of theoretical mechanics, solution for such equations plays an important role. Since it is hard to find closed-form solutions for this nonlinear problem and attempt at direct solution results in linearising the model. This paper investigates the aforementioned problem via the multi-step differential transformation method (MsDTM), which is well-known approximate analytical solutions. The nonlinear governing equation is established based on a large radius of curvature that gives rise to curvature-moment nonlinearity. Based on established boundary conditions, solutions are sort to address the free vibration and static response of the deforming flexible beam. The geometrically linear and nonlinear theory approaches are related. The efficacy of the MsDTM is verified by a couple of physically related parameters for this investigation. The findings demonstrate that this approach is highly efficient and easy to determine the solution of such problems. In new engineering subjects, it is forecast that MsDTM will find wide use.
    Źródło:
    Archive of Mechanical Engineering; 2020, LXVII, 4; 471-489
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimum design of fiber angle and hole orientation of an orthotropic plate
    Autorzy:
    Zhang, X.
    Lu, A.
    Wang, S.
    Zhang, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/280011.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    orthotropic plate
    fiber orientation angle
    hole orientation angle
    conformal transformation method
    differential evolution algorithm
    Opis:
    With the goal of decreasing the stress concentration along the hole boundary in an orthotropic plate under inequi-biaxial loadings, an optimum design of the fiber angle and hole orientation is presented. The maximum absolute tangential stress along the hole boundary is taken as the objective function, and the fiber orientation angle and the hole orientation angle are considered as design variables. The conformal transformation method of a complex function and the Differential Evolution (DE) algorithm are used. Two non-circular shapes, ellipse and hexagon are taken as examples to analyze the problem. Based on the results, we can conclude that the major axis of elliptical holes should be designed in the direction of the maximum external loading for a perforated structure in an orthotropic plate. However, the principal direction that has the larger Young’s modulus should be inclined to the direction of the minimum loading, especially for a significantly orthotropic plate.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2018, 56, 1; 297-311
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Eigenvalue-eigenfunction problem for Steklovs smoothing operator and differential-difference equations of mixed type
    Autorzy:
    Iakovlev, S. I.
    Iakovleva, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/254795.pdf
    Data publikacji:
    2013
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Steklov's smoothing operator
    spectrum
    eigenvalues
    eigenfunctions
    mixed-type differential-difference equations
    initial function
    method of steps
    countably normed space
    transformation group
    generator
    Opis:
    It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space [formula]. For μ ≠ 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial functions and the spectrum of the generator of this group is studied. Some possible generalizations are pointed out.
    Źródło:
    Opuscula Mathematica; 2013, 33, 1; 81-98
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-12 z 12

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