Approximation of the inverse elliptic problem with mixed boundary value conditions

Charyyar Ashyralyyev, Mutlu Dedeturk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space variables difference schemes are constructed. The stability, almost coercive stability and coercive stability estimates for the solution of these difference schemes are obtained. The algorithm for approximate solution is tested in a two-dimensional inverse problem.

Original languageEnglish
Title of host publicationInternational Conference on Analysis and Applied Mathematics, ICAAM 2014
PublisherAmerican Institute of Physics Inc.
Pages25-29
Number of pages5
ISBN (Print)9780735412477
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014 - Shymkent, Kazakhstan
Duration: 11 Sept 201413 Sept 2014

Publication series

NameAIP Conference Proceedings
Volume1611
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
Country/TerritoryKazakhstan
CityShymkent
Period11/09/1413/09/14

Keywords

  • Almost coercive stability
  • Coercive stability
  • Difference scheme
  • Inverse elliptic problem
  • Overdetermination
  • Stability
  • Well-posedness

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