A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions

Charyyar Ashyralyyev, Mutlu Dedeturk

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

Abstract

Approximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. The stability, almost coercive stability and coercive stability inequalities for the solution of constructed difference scheme are established. Test example for a two-dimensional elliptic problem is presented.

Original languageEnglish
Title of host publicationInternational Conference on Analysis and Applied Mathematics, ICAAM 2016
EditorsAlexey Lukashov, Alexey Lukashov, Allaberen Ashyralyev
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414174
DOIs
Publication statusPublished - 10 Aug 2016
Externally publishedYes
Event3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016 - Almaty, Kazakhstan
Duration: 7 Sept 201610 Sept 2016

Publication series

NameAIP Conference Proceedings
Volume1759
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
Country/TerritoryKazakhstan
CityAlmaty
Period7/09/1610/09/16

Keywords

  • Almost coercive stability
  • Coercive stability
  • Difference scheme
  • Elliptic problem
  • Overdetermination
  • Stability

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