Sürdürülebilir Kalkınma Amaçları
Yazarlar
- Ashyralyyev, Charyyar(17)
- Ashyralyev, A.(15)
- Lukashov, A.(9)
- Ashyralyev, A(8)
- Malkowsky, E(8)
- Cakalli, H.(6)
- Canak, I.(6)
- Gurtug, O.(6)
- Harte, R.(6)
- Kandemir, H.S.(6)
- Kocinac, L.D.R.(6)
- Sahin, H.(6)
- Tez, M.(6)
- Akay, K.U.(5)
- Ashyralyev, Allaberen(5)
- Sadybekov, M.(5)
- Ucgun, F.C.(5)
- Uyaver, S.(5)
- Ashyralyyev, C.(4)
- Cakir, Zafer(4)
- Dik, M.(4)
- Onvural, O.R.(4)
- Savas, E.(4)
- Sezer, S.A.(4)
- Turkoglu, A.D.(4)
- Dedeturk, Mutlu(3)
- Akyel, T.(2)
- Ashralyyev, C.(2)
- Cavalcanti, M.M.(2)
- Cavalcanti, V.N.D.(2)
- Erdogan, A.S.(2)
- Gul, I.(2)
- Sakalli, I.(2)
- Turkoglu, D.(2)
- Yilmazturk, T.E.(2)
- Akkus, B.(1)
- Akyuz, Gulzipa(1)
- Akyüz, Gulzipa(1)
- Akyüz, Gulzlpa(1)
- Aral, N.D.(1)
Yayınlar
- BildiriYalnız künye2022Numerical Solution of Time-Nonlocal Problem for Parabolic Equation
Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.
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.
- BildiriAçık Erişim2021Solution of Inverse Problem for an Elliptic Equation by Differential Transform Method
Dedeturk, Mutlu; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Gurtug, O.
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.
- BildiriYalnız künye2021Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions
Ashyralyyev, Charyyar; Gönenç, Ahmet; Ashyralyev, A.; Ashralyyev, C.; Erdogan, A.S.; Lukashov, A.; Sadybekov, M.
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.
- 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.
- BildiriYalnız künye2021On well-posedness of source identification elliptic problem with nonlocal boundary conditions
Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Zvyagin, Viktor G.; Ashyralyev, A.; Ashralyyev, C.; Erdogan, A.S.; Lukashov, A.; Sadybekov, M.
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.
- EditoryalAçık Erişim2019Preface of Numerical Functional Analysis
Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Cakalli, H.; Kocinac, L.D.R.; Harte, R.; Cavalcanti, V.N.D.; Ashyralyev, A.; Sakalli, I.; Canak, I.; Gurtug, O.
- 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.
- BildiriAçık Erişim2018Well-posedness of Neumann-type elliptic overdetermined problem with integral condition
Ashyralyyev, Charyyar; Çay, Aysel; Ashyralyev, A.; Sadybekov, M.; Lukashov, A.
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.
- BildiriYalnız künye2018A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem
Ashyralyyev, Charyyar; Akyüz, Gulzlpa; Ashyralyev, A.; Sadybekov, M.; Lukashov, A.
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.
- BildiriAçık Erişim2018Finite difference approximations of first order derivatives of complex-valued functions
Ashyralyyev, Charyyar; Öztürk, Beyza; Ashyralyev, A.; Sadybekov, M.; Lukashov, A.
In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives wz and wz for complex-valued function w. Exploring different combinations of terms, we derive several approximations to compute the first order derivatives of complex-valued function. The first, second, third and fourth order of accuracy finite differences to calculate derivatives are studied. Error analysis in test examples are carried out by using Matlab program.
- BildiriYalnız künye2018Generalized beta parameters for a SVEIR-type random model of Polio transmission
Bekiryazici, Zafer; Merdan, Mehmet; Kesemen, Tulay; Tosun, M.
In this study, a SVEIR-type compartmental model of Poliomyelitis transmission is examined under random effects. We introduce Generalized Beta and normal distributed random parameters into the equation system to investigate the random dynamics of the disease. The approximate analytical solution of the model under random effects is obtained by using Random Differential Transformation Method (RDTM). Results from simulations and RDTM are analyzed to comment on the randomness of the compartments and disease transmission. It is seen that the random model successfully provides similar results that can be obtained through the deterministic model while providing additional information on the random behavior of the disease, such as the standard deviations and the variation coefficients.
- BildiriYalnız künye2017The determination of the pulse pile-up reject (PUR) counting for X and gamma ray spectrometry
Karabidak, S.M.; Kaya, S.; Akkus, B.; Dogan, G.S.; Oktem, Y.; Guzelcimen, F.
The collection the charged particles produced by the incident radiation on a detector requires a time interval. If this time interval is not sufficiently short compared with the peaking time of the amplifier, a loss in the recovered signal amplitude occurs. Another major constraint on the throughput of modern x or gamma-ray spectrometers is the time required for the subsequent the pulse processing by the electronics. Two above-mentioned limitations are cause of counting losses resulting from the dead time and the pile-up. The pulse pile-up is a common problem in x and gamma ray radiation detection systems. The pulses pile-up in spectroscopic analysis can cause significant errors. Therefore, inhibition of these pulses is a vital step. A way to reduce errors due to the pulse pile-up is a pile-up inspection circuitry (PUR). Such a circuit rejects some of the pulse pile-up. Therefore, this circuit leads to counting losses. Determination of these counting losses is an important problem. In this work, a new method is suggested for the determination of the pulse pile-up reject.
- BildiriYalnız künye2016A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions
Ashyralyyev, Charyyar; Dedeturk, Mutlu; Lukashov, A.; Ashyralyev, A.
Approximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. The stability, almost coercive stability and coercive stability inequalities for the solution of constructed difference scheme are established. Test example for a two-dimensional elliptic problem is presented.
- BildiriYalnız künye2016Stability estimates for solution of IBVP to fractional parabolic differential and difference equations
Ashyralyev, Allaberen; Cakir, Zafer; Lukashov, A.; Ashyralyev, A.
In this work, we investigate initial-boundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes for approximate solution of initial-boundary value problem are constructed. Furthermore, we give theorem on coercive stability estimates for the solution of the difference schemes.
- BildiriYalnız künye2016Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions
Ashyralyyev, Charyyar; Akyüz, Gulzipa; Lukashov, A.; Ashyralyev, A.
In this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this inverse problem. Then, the abstract results are applied to three overdetermined problems for the multi-dimensional elliptic equation with different boundary conditions. Stability inequalities for solutions of these applications are obtained.
- BildiriYalnız künye2015Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
Ashyralyyev, Charyyar; Lukashov, A.; Ashyralyev, A.; Malkowsky, E.; Basar, F.
In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost coercive stability and coercive inequalities for the solution of difference problem are obtained. In application, a fourth order approximation of the inverse problem for multidimensional elliptic equation with Neumann type overdetermination and Dirichlet boundary condition is studied.
- BildiriYalnız künye2014Effects of discretization schemes on numerical results of natural convection heat transfer
Sahin, Birol; Ashyralyev, A; Malkowsky, E
Two dimensional natural convection heat transfer in a square enclosure is numerically analyzed. Laminar naturalconvection heat transfer is studied by solving the Navier-Stokes and energy equations using finite volume method. Numerical solutions of flow field are obtained by Semi-Implicit Method for Pressure-Linked Equations (SIMPLE). Effects of the discretization schemes on numerical solutions are compared with each other.
- BildiriYalnız künye2014Weyl numbers of diagonal matrices
Ismailov, Zameddin I.; Cona, Lale; Çevik, Elif Otkun; Guler, Bahadir O.; Ashyralyev, A; Malkowsky, E
In this work, a connection between Weyl numbers of the infinite diagonal matrix with linear bounded operator elements in the direct sum of Banach spaces and its coordinate operators has been investigated.
- BildiriYalnız künye2014Numerical solutions of linear differential-algebraic equation systems via Hartley series
Ünal, Emrah; Yalçin, Numan; Çelik, Ercan; Ashyralyev, A; Malkowsky, E
In this paper, Hartley series are presented first. Then, the operational matrix of integration together with the product and coefficient matrices are presented. They are used to transform linear differential equation systems to a set of linear algebraic equations. Finally, numerical examples are given.