On an application of an interval backward finite difference method for solving the one-dimensional heat conduction problem

• Autorzy: Jankowska M. , Marciniak A. , Hoffmann T.
• Języki publikacji: EN

Abstrakty

EN

The paper concerns the interval method for solving the one-dimensional heat conduction problem. It is based on the conventional backward finite difference scheme with the appropriate local truncation error terms that are also taken into account. For the theoretical formulation of the interval approach we can show that the exact solution is included in the interval one. In practice, there are problems, for which we cannot determine the endpoints of the error term intervals exactly. Nevertheless, if we use the appropriate approximation, related to the endpoints considered, then the numerical experiments confirm that the interval solution includes the exact one.

Słowa kluczowe

EN

interval methods; interval arithmetic; finite difference methods; heat conduction problem

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2015
• Tom: Vol. 44, no. 4
• Strony: 463--480
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Jankowska M.

• Institute of Applied Mechanics, Poznan University of Technology Jana Pawla II 24, 60-965 Poznan, Poland

autor

Marciniak A.

• Institute of Computing Science, Poznan University of Technology Piotrowo 2, 60-965 Poznan, Poland
• Department of Computer Science, Higher Vocational State School in Kalisz Poznanska 201-205, 62-800 Kalisz, Poland

autor

Hoffmann T.

• Poznan Supercomputing and Networking Center Jana Pawla II 10, 61-139 Poznan, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.