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Problems of heat, mass and charge transfer with discontinuous solutions

Published online by Cambridge University Press:  04 March 2011

V. F. DEMCHENKO ,
V. O. PAVLYK ,
U. DILTHEY ,
I. V. KRIVTSUN ,
O. B. LISNYI  and
V. V. NAKVASYUK
V. F. DEMCHENKO
Affiliation:
E.O. Paton Electric Welding Institute, National Academy of Sciences of Ukraine11 Bozhenko Str., 03680, Kyiv, Ukraine
V. O. PAVLYK
Affiliation:
ISF - Welding and Joining Institute, RWTH Aachen UniversityPontstrasse 49, D-52062 Aachen, Germany email: V.Pavlyk@eisenbau-kraemer.de
U. DILTHEY
Affiliation:
ISF - Welding and Joining Institute, RWTH Aachen UniversityPontstrasse 49, D-52062 Aachen, Germany email: V.Pavlyk@eisenbau-kraemer.de
I. V. KRIVTSUN
Affiliation:
E.O. Paton Electric Welding Institute, National Academy of Sciences of Ukraine11 Bozhenko Str., 03680, Kyiv, Ukraine
O. B. LISNYI
Affiliation:
E.O. Paton Electric Welding Institute, National Academy of Sciences of Ukraine11 Bozhenko Str., 03680, Kyiv, Ukraine
V. V. NAKVASYUK
Affiliation:
E.O. Paton Electric Welding Institute, National Academy of Sciences of Ukraine11 Bozhenko Str., 03680, Kyiv, Ukraine
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Abstract

Typical problems with solutions characterised by first-kind discontinuities occurring at interfaces of layered inhomogeneous media are considered with respect to second-order differential equations in partial derivatives. Direct, inverse and mixed types of solution discontinuities are considered. Presented are generalised formulations of problems under consideration, having discontinuous solutions and allowing a uniform description of the processes of heat, mass and charge transfer in multilayer media. Homogeneous difference schemes built on the basis of generalised solutions, which are illustrated by test problems with analytical solutions, are given.

Keywords

heat, mass and charge transferdiscontinuous solutionsfinite-difference schemesgeneralized solutions
Type
Papers
Information
European Journal of Applied Mathematics , Volume 22 , Issue 4 , August 2011 , pp. 365 - 380
Copyright
Copyright © Cambridge University Press 2011

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