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Wyświetlanie 1-15 z 37
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:
Effective multi-label classification method with applications to text document categorization
Autorzy:
Glinka, K.
Zakrzewska, D.
Powiązania:
https://bibliotekanauki.pl/articles/94735.pdf
Data publikacji:
2016
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
multilabel classification
text categorization
problem transformation method
text management
Opis:
Increasing number of repositories of online documents resulted in growing demand for automatic categorization algorithms. However, in many cases the texts should be assigned to more than one class. In the paper, new multi-label classification algorithm for short documents is considered. The presented problem transformation Labels Chain (LC) algorithm is based on relationship between labels, and consecutively uses result labels as new attributes in the following classification process. The method is validated by experiments conducted on several real text datasets of restaurant reviews, with different number of instances, taking into account such classifiers as kNN, Naive Bayes, SVM and C4.5. The obtained results showed the good performance of the LC method, comparing to the problem transformation methods like Binary Relevance and Label Powerset.
Źródło:
Information Systems in Management; 2016, 5, 1; 24-35
2084-5537
2544-1728
Pojawia się w:
Information Systems in Management
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The verification of the multivariate normal distribution hypothesis in a one-sample model with the method of elimination of disturbing parameters
Sprawdzenie hipotezy o wielowymiarowym rozkładzie normalnym w modelu jednej próby metodą eliminacji parametrów zakłócających
Autorzy:
Domański, Czesław
Wagner, Wiesław
Powiązania:
https://bibliotekanauki.pl/articles/904630.pdf
Data publikacji:
1997
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
multivariate normality test
randomization method
reduction method
conditional interval probability transformation method
Opis:
In many statistical tasks a necessity of testing multivariate normality arises. In constructing multivariate normality tests there is a necessity of estimating unknown parameters ц and £ from a given sample. The parameters are regarded as disturbing parameters. The paper deals with some methods, by means of which unknown disturbing parameters are eliminated when the multivariate normality tests are applied. In particular, the following methods are stressed: randomization method, reduction methods and conditional interval probability transformation method.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 1997, 141
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
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:
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:
Zastosowanie rzutni dodatkowych w metodzie rzutu cechowanego
Application of auxiliary projection planes to the mapping projection method
Autorzy:
Koch, A.
Sulima-Samujłło, T.
Powiązania:
https://bibliotekanauki.pl/articles/118898.pdf
Data publikacji:
2000
Wydawca:
Polskie Towarzystwo Geometrii i Grafiki Inżynierskiej
Tematy:
metoda rzutu cechowanego
geometria wykreślna
metoda tranformacji
descriptive geometry
transformation method
Opis:
On the paper the authors have presented an application of auxiliary projection planes (App), known in the Monge projection as the Transformation Method. to the Mapping Projection Method. The authors are of the opinion that the APP plays an integrating role for both representations and therefore possesses the feature of universality which is essential in Descriptive Geometry. Several typical examples have been solved in which application of one two or three APP was required. The authors also suggest the way auxiliary projection of points, lines and planes should be named and marked.
Źródło:
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics; 2000, 10; 14-18
1644-9363
Pojawia się w:
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
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:
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:
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:
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:
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:
Numerical Presentation of the Selected Statistical Notions Based on Tukeys Concept of Observation Depth in the Sample
Wybrane pojęcia statystyczne w świetle koncepcji zanurzenia punktu w próbie - ujęcie numeryczne
Autorzy:
Wagner, Wiesław
Kobylińska, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/905269.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
depth measure
contour of depth
simplicial depth
the cosine method
the convex combination method
the tree triangle area method
the angular transformation method
Opis:
The study provides presentation of selected statistical concepts based on data depth by Tukey. The concepts as: the rang of depth, the half-space convex, contour, simplicial depth breakdown points, position numerical measures, the trimmed mean depth, regression depth and the set of generally positive points were exemplified in a two-dimensional space of the dataset. There are also given numerical algorithms in some cases to indicate already mentioned concepts and to study their affined transformation. There are also given example for a one-dimensional space besides general description
W pracy omówiono definicję zanurzenia punktu w próbie oraz wywodzące się z lej koncepcji pewne inne pojęcie statystyczne. Przedstawiono między innymi wskaźniki określające stopień zanurzenia oraz zaproponowano metody numerycznego ich wyznaczania.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2003, 164
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
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:
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
Wyświetlanie 1-15 z 37

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