Yazarlar

• Akyuz, G.(2)
• Ashyralyyev, C.(2)

• MakaleAçık Erişim2021Scopus SJRQ2/r/gumushane/16821
  On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem

  Ashyralyyev, C.; Akyuz, G.

  In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multi point overdetermined boundary value problem for multidimensional elliptic partial differential equations.

  AtıfOpenAlex1

  İncele
• MakaleAçık Erişim2021Scopus SJRQ2/r/gumushane/12911
  On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem; [Көпнүктелi қайтаанықталған эллипстiк есеп үшiн төртiншi реттi дәлдiктi тұрақтылық айырымдық схемасы туралы]; [Об устойчивой разностной схеме четвертого порядка точности для многоточечной переопределенной эллиптической задачи]

  Ashyralyyev, C.; Akyuz, G.

  In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multipoint overdetermined boundary value problem for multidimensional elliptic partial differential equations.

  AtıfOpenAlex5

  İncele