Finite difference approximation of strong solutions of a parabolic interface problem on disconnected domains
Author(s) -
Boško S. Jovanović,
Lubin G. Vulkov
Publication year - 2008
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim0898037j
Subject(s) - smoothness , mathematics , convergence (economics) , finite difference , mathematical analysis , finite difference method , boundary value problem , parabolic partial differential equation , boundary (topology) , rate of convergence , finite difference scheme , partial differential equation , computer science , computer network , channel (broadcasting) , economics , economic growth
We investigate an initial boundary value problem for one dimen- sional parabolic equation in two disconnected intervals. A finite difference scheme for its solution is proposed and investigated. Convergence rate esti- mate compatible with the smoothness of input data is obtained.
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