Yazarlar
- Ashyralyev, Allaberen(5)
- Cakir, Zafer(5)
- Ashyralyev, A.(4)
- Akay, K.U.(3)
- Ashyralyyev, C.(3)
- Ashyralyyev, Charyyar(3)
- Cakalli, H.(3)
- Canak, I.(3)
- Gurtug, O.(3)
- Harte, R.(3)
- Kandemir, H.S.(3)
- Kocinac, L.D.R.(3)
- Sahin, H.(3)
- Tez, M.(3)
- Ucgun, F.C.(3)
- Uyaver, S.(3)
- Ashyralyev, A(2)
- Dik, M.(2)
- Emirov, Nazar(2)
- Onvural, O.R.(2)
- Savas, E.(2)
- Sezer, S.A.(2)
- Turkoglu, A.D.(2)
- Akyel, T.(1)
- Akyuz, Gulzipa(1)
- Artykov, Merdan(1)
- Cavalcanti, M.M.(1)
- Cavalcanti, V.N.D.(1)
- Gul, I.(1)
- Karabey, Suzan(1)
- Lukashov, A(1)
- Malkowsky, E(1)
- Sakalli, I.(1)
- Simos, TE(1)
- Suzan Karabey(1)
- Turkoglu, D.(1)
- Yilmazturk, T.E.(1)
Yayınlar
- MakaleYalnız künye2022On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition
Ashyralyev, A.; Ashyralyyev, C.
Abstract: In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.
- BildiriYalnız künye2021Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem
Ashyralyyev, Charyyar; Akyuz, Gulzipa; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.
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.
- BildiriYayıncıda açık erişim2021On stable difference scheme for identification elliptic problem with integral and second kind boundary condition
Ashyralyyev, Charyyar; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Gurtug, O.
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.
- Yüksek Lisans TeziAçık Erişim2019Numerical solutions of neumann type overdetermined multipoint mixed boundary value problems
Suzan Karabey
Bu çalışmada, eliptik diferansiyel denklemler için Neumann tipi çok noktalı üst belirli Dirichlet-Neumann ve Neumann-Dirichlet karışık sınır değer problemleri ele alınmıştır. Problemlerin çözümleri için kararlılık kestirimleri elde edilmiştir. Sabit katsayılı denklemler için çok noktalı karışık sınır değer problemlere karşılık gelen örneklerin çözümleri Fourier seri yöntemiyle, Fourier ve Laplace integral dönüşüm yöntemleriyle elde edilmiştir. Üst belirli çok noktalı Dirichlet-Neumann ve Neumann-Dirichlet karışık sınır değer problemler için birinci ve ikinci mertebeden doğruluk sonlu fark şemaları sunulmuştur. Fark şemaların çözümü için kararlılık kestirimleri gösterilmiştir. İki değişkenli eliptik denklem için Neumann tipi çok noktalı Dirichlet-Neumann ve Neumann-Dirichlet karışık sınır değer problemlerin çözümlerini bulmak için algoritma verilmiştir ve MATLAB kodları eklenmiştir.
- BildiriAçık Erişim2019Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem
Ashyralyyev, Charyyar; Karabey, Suzan; Cakalli, H.; Kocinac, L.D.R.; Harte, R.; Cavalcanti, V.N.D.; Ashyralyev, A.; Sakalli, I.; Canak, I.; Gurtug, O.
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.
- MakaleYalnız künye2014Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer
We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the first order of accuracy difference scheme. A procedure of modified Gauss elimination method is applied for the solution of the first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.
- BildiriYalnız künye2014A note on fractional parabolic differential and difference equations
Ashyralyev, Allaberen; Artykov, Merdan; Cakir, Zafer; Ashyralyev, A; Malkowsky, E
In this work, the first and second order of difference schemes that approximately solve the initial-boundary value problem for multidimensional fractional parabolic equation with Dirichlet boundary condition are presented. The stability estimates for the solution of these difference schemes are established.
- MakaleAçık Erişim2013FDM for fractional parabolic equations with the Neumann condition
Ashyralyev, Allaberen; Cakir, Zafer
In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.
- BildiriYalnız künye2012Fractional parabolic differential and difference equations with the Dirichlet-Neumann condition
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer; Ashyralyev, A; Lukashov, A
The multidimensional fractional parabolic equation with the Dirichlet-Neumann condition is studied. Stability estimates for the solution of the initial-boundary value problem for this fractional parabolic equation are established. The stable difference schemes for this problem are presented. Stability estimates for the solution of the first order of accuracy difference scheme are obtained. A procedure of modified Gauss elimination method is applied for the solution of first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.
- BildiriYalnız künye2011Stable difference schemes for fractional parabolic PDE
Ashyralyev, Allaberen; Cakir, Zafer; Simos, TE
The stable difference schemes for the multidimensional fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln 1/τ+|h| for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations.