Finite Difference Method for a Parabolic Problem with Concentrated Capacity and Time-Dependent Operator

Dejan R. Bojović () and Boško S. Jovanović ()
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Dejan R. Bojović: University of Kragujevac
Boško S. Jovanović: University of Belgrade

A chapter in Approximation and Computation, 2010, pp 285-296 from Springer

Abstract: Abstract We investigate the convergence of difference schemes for the one-dimensional heat equation with a time-dependent operator and the coefficient of the time derivative containing a Dirac delta distribution. An abstract operator method is developed for analyzing this equation. An estimate of the rate of convergence in a special discrete energetic \widetilde{W}2 2, 1 Sobolev norm, compatible with the smoothness of the solution, is obtained.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-6594-3_18

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DOI: 10.1007/978-1-4419-6594-3_18

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