Yazarlar

• Ashyralyyev, Charyyar(2)
• G¨onenc¸, Ahmet(1)

• MakaleAçık Erişim2021Scopus SJRQ3/r/gumushane/14812
  Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions

  Ashyralyyev, Charyyar; G¨onenc¸, Ahmet

  In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.

  AtıfScopus5·OpenAlex3

  İncele
• MakaleYalnız künye2020Scopus SJRQ1/r/gumushane/12917
  Stability of Rothe difference scheme for the reverse parabolic problem with integral boundary condition

  Ashyralyyev, Charyyar

  In this paper, we study the approximation of reverse parabolic problem with integral boundary condition. The Rothe difference scheme for an approximate solution of reverse problem is discussed. We establish stability and coercive stability estimates for the solution of the Rothe difference scheme. In sequel, we investigate the first order of accuracy difference scheme for approximation of boundary value problem for multidimensional reverse parabolic equation and obtain stability estimates for its solution. Finally, we give numerical results together with an explanation on the realization in one- and two-dimensional test examples.

  AtıfScopus9·WoS6·OpenAlex9

  İncele