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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| container_title | Publications de l'Institut mathématique (Belgrade) |
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| creator | Sredojevic, Bratislav Bojovic, Dejan |
| description | 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. |
| doi_str_mv | 10.2298/PIM1613067S |
| format | Article |
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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
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| language | eng |
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| source | EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| title | Finite difference approximation for parabolic interface problem with time-dependent coefficients |
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