Yazarlar

• Ashyralyyev, Charyyar(2)

• MakaleAçık Erişim2014Scopus SJRQ2/r/gumushane/15762
  High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition

  Ashyralyyev, Charyyar

  The overdetermination problem for elliptic differential equation with Dirichlet boundary condition is considered. The third and fourth orders of accuracy stable difference schemes for the solution of this inverse problem are presented. Stability, almost coercive stability, and coercive inequalities for the solutions of difference problems are established. As a result of the application of established abstract theorems, we get well-posedness of high order difference schemes of the inverse problem for a multidimensional elliptic equation. The theoretical statements are supported by a numerical example.

  AtıfScopus30·WoS29·OpenAlex26

  İncele
• MakaleAçık Erişim2014Scopus SJRQ2/r/gumushane/15641
  High order approximation of the inverse elliptic problem with dirichlet-neumann conditions

  Ashyralyyev, Charyyar

  Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

  AtıfScopus35·WoS31·OpenAlex35

  İncele