Finite difference approximation for parabolic interface problem with time-dependent coefficients
The convergence of difference scheme for two-dimensional initial boundary value problem for the heat equation with concentrated capacity and time-dependent coefficients of the space derivatives, is considered. An estimate of the rate of convergence in a special discrete W~12,1/2 Sobolev norm, compat...
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Veröffentlicht in: | Publications de l'Institut mathématique (Belgrade) 2016, Vol.99 (113), p.67-76 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | The convergence of difference scheme for two-dimensional initial boundary
value problem for the heat equation with concentrated capacity and
time-dependent coefficients of the space derivatives, is considered. An
estimate of the rate of convergence in a special discrete W~12,1/2 Sobolev
norm, compatible with the smoothness of the coefficients and solution, is
proved. |
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ISSN: | 0350-1302 1820-7405 |
DOI: | 10.2298/PIM1613067S |