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Wyświetlanie 1-15 z 100
Tytuł:
Well-posedness of the Dirichlet problem and homotopy classification of elliptic systems of second-order partial differential equations
Autorzy:
Yanushauskas, A.
Powiązania:
https://bibliotekanauki.pl/articles/718741.pdf
Data publikacji:
1987
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Banach Center Publications; 1987, 19, 1; 371-381
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unsteady hydromagnetic flow of Oldroyd-B fluid over an oscillatory stretching surface: a mathematical model
Autorzy:
Khan, S. U.
Ali, N.
Powiązania:
https://bibliotekanauki.pl/articles/297856.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
Oldroyd-B fluid
oscillatory stretching sheet
homotopy analysis method
Opis:
In the present work, we have studied an unsteady, two-dimensional boundary layer flow of a magnetohydrodynamics (MHD) Oldroyd-B fluid over an oscillatory stretching surface. The problem is modeled by using constitutive equations. The number of independent variables in the governing equations are reduced by using appropriate dimensionless variables. The analytical solution is computed by using homotopy analysis method. The influences of various physical parameters such as Deborah numbers, ratio of angular frequency to stretching rate parameter and Hartmann number on time-series of velocity and transverse velocity profiles at different time instants are investigated and discussed quantitatively with the help of various graphs. It is observed that amplitude of velocity increases by increasing ratio of oscillating frequency to stretching rate parameter while decreases by increasing Hartmann number. It is further observed that the magnitude of velocity decreases by increasing Hartmann number and Deborah numbers in the terms of relaxation time parameter.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2017, 20(1); 87-100
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniform homotopy
Autorzy:
Calder, Allan
Powiązania:
https://bibliotekanauki.pl/articles/1364112.pdf
Data publikacji:
1979
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Fundamenta Mathematicae; 1979, 102, 2; 91-99
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method
Autorzy:
Hoshyar, H. A.
Rahimipetroudi, I.
Ganji, D. D.
Majidian, A. R.
Powiązania:
https://bibliotekanauki.pl/articles/122933.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
collocation method
homotopy perturbation method
porous fin
temperature-dependent heat generation
Opis:
An analysis has been performed to study the problem of the thermal performance of a nonlinear problem of the porous fin with temperature-dependent internal heat generation. Highly accurate semi-analytical methods called the collocation method (CM) and the homotopy perturbation method (HPM) are introduced and then are used to obtain a nonlinear temperature distribution equation in a longitudinal porous fin. This study is performed using passage velocity from the Darcy’s model to formulate the heat transfer equation through porous media. The heat generation is assumed to be a function of temperature. The effects of the natural convection parameter Nc, internal heat generation εg, porosity Sh and generation number G parameter on the dimensionless temperature distribution are discussed. Also, numerical calculations called the fourth order Runge-Kutta method were carried out for the various parameters entering into the problem for validation. Results reveal that analytical approaches are very effective and convenient. Also it is found that these methods can achieve more suitable results compared to numerical methods.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 53-65
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Vietoris system in strong shape and strong homology
Autorzy:
Günther, Bernd
Powiązania:
https://bibliotekanauki.pl/articles/1214990.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
vietoris nerve
Steenrod homotopy category
strong shape theory
strong homology
compact supports
Opis:
We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology.
Źródło:
Fundamenta Mathematicae; 1992, 141, 2; 147-168
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Theory of an Arbitrary Higher λ-Model
Autorzy:
Martínez-Rivillas, Daniel O.
de Queiroz, Ruy J. G. B.
Powiązania:
https://bibliotekanauki.pl/articles/43180151.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
higher lambda calculus
homotopic lambda model
Kan complex reflexive
higher conversion
homotopy type-free theory
Opis:
One takes advantage of some basic properties of every homotopic λ-model (e.g. extensional Kan complex) to explore the higher βη-conversions, which would correspond to proofs of equality between terms of a theory of equality of any extensional Kan complex. Besides, Identity types based on computational paths are adapted to a type-free theory with higher λ-terms, whose equality rules would be contained in the theory of any λ-homotopic model.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 1; 39-58
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The stability conditions of the cubic damping Van der Pol-Duffing oscillator using the HPM with the frequency-expansion technology
Autorzy:
El-Dib, Y. O.
Powiązania:
https://bibliotekanauki.pl/articles/122293.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
homotopy perturbation method
nonlinear oscillators
cubic nonlinear damping van der Pol’s equation
nonlinear frequency analysis
stability analysis
metoda perturbacji homotopii
HPM
homotopijna metoda perturbacyjna
oscylator Van der Pol-Duffing
analiza stabilności
teoria perturbacji
oscylator nieliniowy
analiza częstotliwościowa
Opis:
In this paper, we perform the frequency-expansion formula for the nonlinear cubic damping van der Pol’s equation, and the nonlinear frequency is derived. Stability conditions are performed, for the first time ever, by the nonlinear frequency technology and for the nonlinear oscillator. In terms of the van der Pol’s coefficients the stability conditions have been performed. Further, the stability conditions are performed in the case of the complex damping coefficients. Moreover, the study has been extended to include the influence of a forcing van der Pol’ oscillator. Stability conditions have been derived at each resonance case. Redoing the perturbation theory for the van der Pol oscillator illustrates more of a resonance formulation such as sub-harmonic resonance and super-harmonic resonance. More approximate nonlinear dispersion relations of quartic and quintic forms in the squaring of the extended frequency are derived, respectively.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 31-44
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3
Autorzy:
Nakazawa, Yoshitaka
Shimomura, Katsumi
Powiązania:
https://bibliotekanauki.pl/articles/1205454.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
For the Brown-Peterson spectrum BP at the prime 3, $v_2$ denotes Hazewinkel's second polynomial generator of $BP_*$. Let $L_2$ denote the Bousfield localization functor with respect to $v_2^{-1}BP$. A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups $π_*(L_2M ∧ X)$ for the 8 skeleton X of BP.
Źródło:
Fundamenta Mathematicae; 1997, 152, 1; 1-20
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Spectral-homotopy analysis of MHD non-orthogonal stagnation point flow of a nanofluid
Autorzy:
Chaharborj, S.
Moameni, A.
Powiązania:
https://bibliotekanauki.pl/articles/122375.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nanofluid
MHD stagnation flow
stretching sheet
SHAM
metoda analizy homotopii spektralnej
Opis:
In this article, we investigate the theoretical study of the magnetohy-drodynamic (MHD) non-orthogonal stagnation point flow of a nanofluid towards a stretching. The partial differential equations that model the problem are reduced to ordinary differential equations which are then solved analytically using the improved Spectral Homotopy Analysis Method (SHAM). Comparisons of our results from SHAM and numerical solutions show that this method is a capable tool for solving this type of linear and nonlinear problems semi-analytically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 1; 15-28
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 100

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