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.

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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.
Mots-clés : initial-boundary value problem, disconnected domains, interface, Sobolev spaces, finite differences, convergence rate 
@article{PIM_2008_N_S_84_98_a1,
     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 - 48},
     publisher = {mathdoc},
     volume = {(N.S.) 84},
     number = {98},
     year = {2008},
     zbl = {1199.65274},
     url = {https://geodesic-test.mathdoc.fr/item/PIM_2008_N_S_84_98_a1/}
}
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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. https://geodesic-test.mathdoc.fr/item/PIM_2008_N_S_84_98_a1/