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Two methods to solve a fractional single phase moving boundary problem

100%
Li X., Wang S., Zhao M.
Open Physics
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2013
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vol. 11
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issue 10
1387-1391
EN
A moving boundary problem of a melting problem is considered in this study. A mathematical model using the Caputo fractional derivative heat equation is proposed in the paper. Since moving boundary problems are difficult to solve for the exact solution, two methods are presented to approximate the evolution of the temperature. To simplify the computation, a similarity variable is adopted in order to reduce the partial differential equations to ordinary ones.
2
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Micro-macro model for prediction of local temperature distribution in heterogeneous and two-phase media

100%
Seredyński M., Łapka P., Furmański P., Banaszek J.
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3
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Optimal choice of integral parameter in a process of solving the inverse problem for heat equation

100%
Joachimiak M., Ciałkowski M.
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4
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Diffusion problems on fractional nonlocal media

100%
Sapora A., Cornetti P., Carpinteri A.
Open Physics
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2013
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vol. 11
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issue 10
1255-1261
EN
In this paper, the nonlocal diffusion in one-dimensional continua is investigated by means of a fractional calculus approach. The problem is set on finite spatial domains and it is faced numerically by means of fractional finite differences, both for what concerns the transient and the steady-state regimes. Nonlinear deviations from classical solutions are observed. Furthermore, it is shown that fractional operators possess a clear physical-mechanical meaning, representing conductors, whose conductance decays as a power-law of the distance, connecting non-adjacent points of the body.
5
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On temperature distributions in a semi-infinite periodically stratified layer

100%
Kulchytsky-Zhyhailo R., Matysiak S. J.
Bulletin of the Polish Academy of Sciences: Technical Sciences
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2006
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vol. 54
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issue 1
6
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A one-dimensional model for the heat conduction in ring-like body

89%
Ecsedi I., Baksa A., Ecsedi I., Baksa A.
Archive of Mechanical Engineering
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2013
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vol. 60
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issue 4
7
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Optimizing of Metal Foam Design for the Use as a Heat Exchanger

75%
Radkovský F., Gebauer M., Merta V.
Archives of Metallurgy and Materials
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2018
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vol. 63
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issue 4
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