EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 84(98), pp. 37–48 (2008)

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FINITE DIFFERENCE APPROXIMATION OF STRONG SOLUTIONS OF A PARABOLIC INTERFACE PROBLEM ON DISCONNECTED DOMAINS

Bosko S. Jovanovic and Lubin G. Vulkov

University of Belgrade, Faculty of Mathematics, Belgrade, Serbia and University of Rousse, Department of Mathematics, Rousse, Bulgaria

Abstract: We investigate an initial boundary value problem for one dimensional parabolic equation in two disconnected intervals. A finite difference scheme for its solution is proposed and investigated. Convergence rate estimate compatible with the smoothness of input data is obtained.

Keywords: initial-boundary value problem, disconnected domains, interface, Sobolev spaces, finite differences, convergence rate

Classification (MSC2000): 65M12, 65M15

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Electronic fulltext finalized on: 9 Dec 2008. This page was last modified: 12 Dec 2008.

© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
© 2008 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition