Temat: BVP - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Upper and lower solutions satisfying the inverse inequality
Autorzy:: Rachůnková, Irena
Powiązania:: https://bibliotekanauki.pl/articles/1310660.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: existence
multipoint and two-point BVP
upper and lower solutions
topological degree
Opis:: We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.
Źródło:: Annales Polonici Mathematici; 1996-1997, 65, 3; 235-244
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Heat transfer effects on carbon nanotubes along a moving flat plate subjected to uniform heat flux
Autorzy:: Ferdows, M.
Shamshuddin, Md.
Reza, Motahar
Ara Quadir, Raushan
Powiązania:: https://bibliotekanauki.pl/articles/27312400.pdf
Data publikacji:: 2022
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: transfer ciepła
płyn bazowy
ruch cieczy
SWCNTs
MWCNTs
heat transfer
bvp4c
similarity
Opis:: In the present paper, a theoretical analysis is made to investigate fluid flow and heat energy transformation features of single and multi-walled water functionalized carbon nanotubes (CNTs) with uniform heat inconstancy boundary conditions onward a flat plate. The liquid motion and momentum transfer of carbon nanotubes (CNTs) have been analyzed using a homogeneous flow model. Both single-wall CNTs (SWCNTs) and multi-wall CNTs (MWCNTs) used base fluids, namely, water. The thermophysical characteristics of CNTs regarding the solid volume fraction of CNTs are studied by applying empirical correlations. Similarity transformations have been used to the governing partial differential equations turning them into ordinary differential equations. The outcome of similarity transformations which are nonlinear ordinary differential equations subjected to reconstructed boundary conditions, are subsequently solved numerically using bvp4c. The effects of the governing parameters on the dimensionless velocity, temperature, and skin friction are investigated numerically and graphically. An increase in the volume fraction and the velocity ratio parameter increase the flow, the velocity, and the temperature profile. Regardless of any physical parameter, SWCNTs give better heat transfer than MWCNTs.
Źródło:: International Journal of Applied Mechanics and Engineering; 2022, 27, 4; 66--81
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: 3.

Tytuł:: Transformation of the second order boundary value problem into integral form : different approaches and a numerical solution
Autorzy:: Siedlecki, J.
Ciesielski, M.
Błaszczyk, T.
Powiązania:: https://bibliotekanauki.pl/articles/122740.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: BVP problem
Fredholm integral equation
Fubini's theorem
numerical methods
zagadnienie wartości brzegowych
równanie całkowe Fredholma
twierdzenie Fubinisa
metody numeryczne
Opis:: In this paper we present different approaches to the transformation of the second order ordinary differential equation, with respect to adequate boundary conditions, into integral equations. The obtained equations are Fredholm integral equations of the second kind. Next, a numerical method based on quadrature methods has been proposed to get an approximate solution of these equations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 3; 103-108
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Magnetohydrodynamic flow around an elongated cylinder in non-Darcian porous regime with higher order chemical reaction and Soret/Dufour effects
Autorzy:: Das, Utpal Jyoti
Begum, Jubi
Powiązania:: https://bibliotekanauki.pl/articles/27312395.pdf
Data publikacji:: 2023
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: parametr bezwładności
magnetohydrodynamika
zjawisko Dufoura
efekt Soreta
ośrodek porowaty
inertia parameter
magnetohydrodynamic
Soret number
Dufour number
porous medium
elongating cylinder
bvp4c
Opis:: Here, we consider magnetohydrodynamic flow of an incompressible, time independent fluid past an elongated cylinder surrounded in a non-Darcian porous regime with magnetic flux supplied at an acute angle. The Soret/Dufour effects and the higher order chemical reactions are also included in the present study. The subsequent governing equations are resolved using the MATLAB-bvp4c method. The flow velocity appears to decrease with the growth of the Reynolds number, inertia parameter, magnetic field and angle of inclination of the magnetic flux, but improves with the Darcy number. The inertia parameter enhances the fluid temperature and skin friction. Further order of chemical reaction, Soret/ Dufour number plays a significant role in the system.
Źródło:: International Journal of Applied Mechanics and Engineering; 2023, 28, 1; 11--22
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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