Sürdürülebilir Kalkınma Amaçları

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• BildiriYalnız künye2022/r/gumushane/12831
  Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

  Ashyralyev, Allaberen; Ashyralyyev, Charyyar

  In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

  İncele
• BildiriAçık Erişim2021/r/gumushane/14924
  Solution of Inverse Problem for an Elliptic Equation by Differential Transform Method

  Dedeturk, Mutlu

  In this work, inverse problem for an elliptic equation is studied. We gave a numerical solution of inverse elliptic problem by differential transform method in test example.

  İncele
• BildiriYalnız künye2021/r/gumushane/14695
  Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions

  Ashyralyyev, Charyyar; Gönenç, Ahmet

  In this work, we consider approximation of nonlocal reverse parabolic problem with second kind boundary and integral conditions. Stability and coercive stability estimates for solution of difference scheme are obtained. Some illustrations of numerical results in examples of one and two dimensional reverse parabolic equations are presented.

  İncele
• BildiriYalnız künye2021/r/gumushane/14588
  Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem

  Ashyralyyev, Charyyar; Akyuz, Gulzipa

  In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.

  İncele
• BildiriYayıncıda açık erişim2021/r/gumushane/12839
  On stable difference scheme for identification elliptic problem with integral and second kind boundary condition

  Ashyralyyev, Charyyar

  In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given.

  İncele
• BildiriYalnız künye2021/r/gumushane/11593
  On well-posedness of source identification elliptic problem with nonlocal boundary conditions

  Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Zvyagin, Viktor G.

  We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution of this problem in Hölder norms are established.

  İncele
• EditoryalAçık Erişim2019/r/gumushane/14749
  Preface of Numerical Functional Analysis

  Ashyralyev, Allaberen; Ashyralyyev, Charyyar

  İncele
• BildiriAçık Erişim2019/r/gumushane/13028
  Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem

  Ashyralyyev, Charyyar; Karabey, Suzan

  In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.

  İncele
• BildiriAçık Erişim2018/r/gumushane/15184
  Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

  Ashyralyyev, Charyyar; Çay, Aysel

  The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.

  İncele
• BildiriYalnız künye2018/r/gumushane/15066
  A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem

  Ashyralyyev, Charyyar; Akyüz, Gulzlpa

  In this study, a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point elliptic overdetermined problem is studied. For solution of constructed difference problem stability, almost coercive stability and coercive stability estimates are established. The theoretical statements for the solution of this difference problem are supported by numerical results in test example by using Matlab.

  İncele