Geodesic
Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains
Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 37

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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.
DOI : 10.2298/PIM0898037J
Classification : 65M12 65M15
Keywords: initial-boundary value problem, disconnected domains, interface, Sobolev spaces, finite differences, convergence rate 
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     author = {Bo\v{s}ko S. Jovanovi\'c and Lubin G. Vulkov},
     title = {Finite {Difference} {Approximation} of {Strong} {Solutions} of a {Parabolic} {Interface} {Problem} on {Disconnected} {Domains}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {37 },
     publisher = {mathdoc},
     volume = {_N_S_84},
     number = {98},
     year = {2008},
     doi = {10.2298/PIM0898037J},
     zbl = {1199.65274},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0898037J/}
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Boško S. Jovanović; Lubin G. Vulkov. Finite Difference Approximation of Strong Solutions of a Parabolic Interface Problem on Disconnected Domains. Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 37 . doi: 10.2298/PIM0898037J

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