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

FINITE DIFFERENCE APPROXIMATION OF STRONG SOLUTIONS OF A PARABOLIC INTERFACE PROBLEM ON DISCONNECTED DOMAINSBosko S. Jovanovic and Lubin G. VulkovUniversity of Belgrade, Faculty of Mathematics, Belgrade, Serbia and University of Rousse, Department of Mathematics, Rousse, BulgariaAbstract: 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: initialboundary value problem, disconnected domains, interface, Sobolev spaces, finite differences, convergence rate Classification (MSC2000): 65M12, 65M15 Full text of the article: (for faster download, first choose a mirror)
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
