On the second order implicit difference schemes for a right hand side identification problem

In many physical phenomena, especially in temperature over-specification partial differential equation with an unknown source function appears. The present paper is devoted to the study of the well-posedness of the approximate solution of a right-hand side identification problem for a parabolic equa...

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Vydáno v:Applied mathematics and computation Ročník 226; s. 212 - 228
Hlavní autoři: Erdogan, A.S., Ashyralyev, A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.01.2014
Témata:
Abstract parabolic problem
Approximation
Banach spaces
Coercive force
Computation
Estimates
Identification problem
Implicit difference scheme
Mathematical analysis
Mathematical models
Numerical analysis
Partial differential equations
Stability
Stability estimates
Identification problem
Implicit difference scheme
Abstract parabolic problem
Numerical analysis
Banach spaces
Stability estimates
ISSN:0096-3003, 1873-5649
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Shrnutí:In many physical phenomena, especially in temperature over-specification partial differential equation with an unknown source function appears. The present paper is devoted to the study of the well-posedness of the approximate solution of a right-hand side identification problem for a parabolic equation. The second order of accuracy implicit difference scheme is presented. The coercive stability estimates for the solution of this difference scheme are obtained. The theoretical statements for the solution of this difference schemes are supported by results of numerical experiments.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.10.035