Yazarlar

• Ashyralyev, A.(1)
• Ashyralyyev, C.(1)
• Ashyralyyev, Charyyar(1)
• Zvyagin, V.G.(1)

• MakaleAçık Erişim2022Scopus SJRQ2/r/gumushane/14538
  On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem

  Ashyralyyev, Charyyar

  In this study, a source identification problem for elliptic differential equation with integral type non-local condition is discussed. The second order of accuracy difference scheme for elliptic non-local source identification problem is studied. Using spectral resolution of a self-adjoint operator, stability and coercive stability estimates for solution of difference scheme are established. Subsequently, difference scheme for an approximate solution of multi-dimensional boundary-value problem with integral type non-local and first kind boundary conditions is investigated for stability. Numerical results for 2D and 3D examples are illustrated.

  AtıfScopus2·WoS1·OpenAlex2

  İncele
• MakaleAçık Erişim2020/r/gumushane/14818
  A note on well-posedness of source identification elliptic problem in a Banach space; [Банах кеңiстiгiнде дереккөздi сәйкестендiруде эллипстiк есептiң корректiлiгi туралы ескерту]; [Замечание о корректности эллиптической задачи идентификации источника в банаховом пространстве]

  Ashyralyev, A.; Ashyralyyev, C.; Zvyagin, V.G.

  We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

  AtıfOpenAlex1

  İncele