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Silesian University of Technology, Gliwice Read more of Mathematics - Page 2 We use cookies to make interactions with our website easy and meaningful, to better understand the use of our services, and to tailor advertising.
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A 'read' is counted each time someone views a publication summary such as the title, abstract, and list of authorsclicks on a figure, or views or downloads the full-text.
Damian Slota currently works at the Institute of Mathematics, Silesian University of Technology.
Damian does research in Applied Mathematics.
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In the paper, solution of the inverse problem is presented, which consists in determination of the heat transfer coefficient during the process of binary alloy solidification for the known temperature measurements in the selected points of the cast.
In the cons idered model distribution of temperature is described with the aid of Stefan problem wit.
The determination of the behaviour of inhomogeneous materials with a complex microstructure requires taking into account the inhomogeneity of the grain size, as it is the basis for the process of designing and modelling effective behaviours.
Therefore, the functional description of the inhomogeneity is becoming an important issue.
The scope of the paper is the presentation of a simple and original method of generating the sum of certain alternating series.
In this article, the possibility of the application of the homotopy perturbation method for solving the two-phase inverse Stefan problem is presented.
This problem consists in the calculation of temperature distribution in the domain, as well as in the reconstruction of the functions describing the temperature and the heat flux on the boundary when.
In this paper, a comparison between two methods: the Adomian decomposition method and the variational iteration method, used for solving the moving boundary problem, is presented.
Both of the methods consist in constructing the appropriate iterative or recurrence formulas, on the basis of the equation considered and additional conditions, enabling.
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The scope of the paper is an algorithm reconstructing the boundary conditions heat flux and heat transfer coefficient in the solidification of pure metals on the grounds of temperature measurements.
For the verification of the algorithm experimental data derived in the course of the solidification of aluminum were used.
An example of the applicat.
The solution of the inverse problem involving the designation of the boundary condition in the problem of the binary alloy solidification for known temperature measurements at a selected point of the cast is presented.
In the discussed model, the temperature distribution is described by means of the Stefan problem with varying in time temperature c.
In this paper, an application of the Picard's iterative method for finding the solution of two phase Stefan problem is presented.
In the proposed method an iterative connection is formulated, which allows to determine the temperature distribution in considered domain.
Another unknown function, describing position of the moving interface, is approxi.
In this paper we present an application of the Artificial Bee Colony ABC algorithm for solving the inverse heat conduction problem, consisting in determining the state function and some of the boundary conditions.
The ABC algorithm belongs to the group of swarm intelligence algorithms and is inspired by the technique of searching for the nectar a.
Purpose of this paper: In this paper an application of the new method for solving the heat conduction equation in the heterogeneous cast-mould system, with an assumption of the ideal contact at the cast-mould contact point, is introduced.
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In the quality assurance system for components cast using the lost wax method, the object of evaluation is the grain size on the surface of the casting.
This paper describes a new method for evaluating the primary grain parameters on the surface of aircraft engine turbine blades.
Effectiveness of the method has been tested on two macrostructures di.
In this paper, application of the Picard's iterative method for solving the one-phase Stefan problem is presented.
In the proposed method, an iterative relation is formulated, which allows to determine the temperature distribution in the considered domain.
The unknown function, describing the position of the moving interface, is approximated with t.
The solution of the inverse problem involving the designation of the thickness of boundary layer in a broken line model of binary alloysolidification for known temperature measurements at a selected point of the cast is presented.
In the discussed model the temperaturedistribution is described by means of the Stefan problem with varying in time tem.
In this paper, the application of the homotopy perturbation method for solving the inverse Stefan problem is presented.
This problem consists in the calculation of temperature distribution in the domain, as well as in the reconstruction of the functions describing temperature and heat flux on the boundary, when the position of the moving interface.
In this paper, a numerical method of solving the inverse heat conduction problem based on the respectively new tool for combinational optimization, named the Artificial Bee Colony algorithm ABCis presented.
In the first step, the direct heat conduction problem, associated to the considered inverse heat conduction problem, is solved by using th.
This paper is focused on the adaptation of Cardano's approach to generating the roots of rescaled Vieta—Lucas polynomials and Vieta—Fibonacci functions.
The application of the derived equations to generating radical-type identities is also presented.
In this paper, an algorithm will be presented that enables solving the two-phase inverse Stefan problem, where the additional information consists of temperature measurements in selected points of the solid phase.
The problem consists in the reconstruction of the function describing the heat transfer la slota net, so that the temperature in the give.
Nadarajah, On modified Chebyshev polynomials, J.
In this paper we introduce and investigate the so-called quasi-Fibonacci numbers of order 13.
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In this paper we prove that with any divergent permutation The paper presents a multiscale description of the inhomogeneity of gradient percolation structures of cast iron and banded structures of steel, based on a classical approach with a Hurst correlation.
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The paper presents the approximated solution of the solidification problem, modelled with the aid of the one-phase Stefan problem with the boundary condition of the second kind, by using the variational iteration method.
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Purpose: Solidification of pure metal can be modelled by a two-phase Stefan problem, in which the distribution of temperature in the solid and liquid phases is described by the heat conduction equation with initial and boundary conditions.
The inverse Stefan problem can be applied to solve design problems in casting process.
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The article presents an algorithm of a solution of the two-phase inverse Stefan design problem.
Based on the given information about the partial position of a moving interface, a functional was built defining the error of an approximate solution.
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This paper presents the method of determination of the continuous casting cross-section, in which average temperature was equal to a prescribed value.
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In numerical calculations the Tikhonov regularization, the geneti.
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I use a 5 slot electric Ticket Puncher every time.
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Since last weeks talk of the hydra not being very good for LRCs, RE.
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Luke On va avoir le même arsenal de WS en fait!
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