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Roman Khotyachuk and Klaus Johannsen
In this study, the numerical solutions to the Elder problem are analyzed using Big Data technologies and data-driven approaches. The steady-state solutions to the Elder problem are investigated with regard to Rayleigh numbers (????
R
a
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Brett Bowman, Chad Oian, Jason Kurz, Taufiquar Khan, Eddie Gil and Nick Gamez
Modeling of physical processes as partial differential equations (PDEs) is often carried out with computationally expensive numerical solvers. A common, and important, process to model is that of laser interaction with biological tissues. Physics-informe...
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Fatma Guesmi, Naoufel Azouz and Jamel Neji
This paper presents the design and mathematical model of an innovative smart crane, CHAYA-SC, based on the principle of a cable-driven parallel manipulator, as well as its stabilization. This crane is mounted on the airship hold and intended for handling...
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Dong Tang, Huixiang Jian, Min Song and Zhongming Jiang
During the operation of underground water-sealed oil storage caverns, a large amount of oil vapor is generated due to volatilization. Oil vapor can easily leak into the surrounding rock, and fractures in the surrounding rock are usually the dominant chan...
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Bashar Talib Al-Nuaimi, H.K. Al-Mahdawi, Zainalabideen Albadran, Hussein Alkattan, Mostafa Abotaleb and El-Sayed M. El-kenawy
The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T...
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Rafael Díaz Fuentes, Stefano Serra-Capizzano and Rosita Luisa Sormani
It is well known that ω" role="presentation">???
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-circulant matrices with ω≠0" role="presentation" style="position: relative;">???0??0
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0
can be simultaneously diagonalized by a transform matrix, which can be factored...
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Ladislav Sator, Vladimir Sladek and Jan Sladek
Laminated composite structures suffer from failure because of concentrations of gradient fields on interfaces due to discontinuity of material properties. The rapid development of material science enables designers to replace classical laminated plate el...
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Alexander Köhler and Michael Breuß
The computation of correspondences between shapes is a principal task in shape analysis. In this work, we consider correspondences constructed by a numerical solution of partial differential equations (PDEs). The underlying model of interest is thereby t...
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Oskar Bschorr and Hans-Joachim Raida
The method used to factorize the longitudinal wave equation has been known for many decades. Using this knowledge, the classical 2nd-order partial differential Equation (PDE) established by Cauchy has been split into two 1st-order PDEs, in alignment with...
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Joan Cecilia Averós, Jaume Puy Llorens and Ramiro Uribe-Kaffure
In this work, we present a novel strategy for the numerical solution of a coupled system of partial differential equations that describe reaction?diffusion processes of a mixture of metals and ligands that can be absorbed by a sensor or a microorganism, ...
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