Browsing by Author "Ashyralyev, Allaberen"
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FDM for fractional parabolic equations with the Neumann condition
Ashyralyev, Allaberen; Cakir, Zafer (Springeropen, 2013)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 ... 
Fractional Parabolic Differential and Difference Equations with the DirichletNeumann Condition
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer (Amer Inst Physics, 2012)The multidimensional fractional parabolic equation with the DirichletNeumann condition is studied. Stability estimates for the solution of the initialboundary value problem for this fractional parabolic equation are ... 
International Conference on Analysis and Applied Mathematics (ICAAM 2020)
[Belirlenecek] (AIP Publishing, 20210209)The main objective of ICAAM is to promote and inspire new developments in mathematics and mathematical applications. For reaching our goal, we provide a forum for researchers and scientists who are working in the fields ... 
A note on fractional parabolic differential and difference equations
Ashyralyev, Allaberen; Artykov, Merdan; Cakir, Zafer (Amer Inst Physics, 2014)In this work, the first and second order of difference schemes that approximately solve the initialboundary value problem for multidimensional fractional parabolic equation with Dirichlet boundary condition are presented. ... 
Numerical Solution of TimeNonlocal Problem for Parabolic Equation
Ashyralyyev, Charyyar; Ashyralyev, Allaberen (American Institute of Physics Inc., 2022)In this work, we study timenonlocal boundary value problem for multidimensional parabolic partial differential equation. Two difference schemes for approximate solution of nonlocal boundary value problem are discussed. ... 
On the absolute stable difference scheme for the spacewise dependent source identification problem for elliptictelegraph equation
Ashyralyev, Allaberen; AlHammouri, Ahmad; Ashyralyyev, Charyyar (Wiley, 2021)The present paper is devoted to study the first order of accuracy absolute stable difference scheme for the approximate solution of the space identification problem for the elliptictelegraph equation in Hilbert spaces ... 
On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition
Ashyralyev, Allaberen; Cakir, Zafer (Hindawi Ltd, 2012)The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for ... 
On the problem of determining the parameter of an elliptic equation in a Banach space
Ashyralyev, Allaberen; Ashyralyyev, Charyyar (Inst Mathematics & Informatics, 2014)The boundary value problem of determining the parameter of an elliptic equation u ''(t) + Au(t) = f (t) + p (0 <= t <= T), u(0) = phi, u(T) = psi, u(lambda) = xi, 0 < lambda < T, with a positive operator A in an arbitrary ... 
On Wellposedness of Source Identification Elliptic Problem with Nonlocal Boundary Conditions
Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Zvyagin, Viktor G. (Amer Inst Physics, 2021)We study the wellposedness 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 ... 
Preface: Fifth International Conference on Analysis and Applied Mathematics (ICAAM 2020)
Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Erdogan, Abdullah; Lukashov, Alexey; Sadybekov, Mahmud (AIP Publishing, 20210209)The main objective of ICAAM is to promote and inspire new developments in mathematics and mathematical applications. For reaching our goal, we provide a forum for researchers and scientists who are working in the fields ... 
rModified CrankNicholson difference scheme for fractional parabolic PDE
Ashyralyev, Allaberen; Cakir, Zafer (Springeropen, 2014)The second order of accuracy stable difference scheme for the numerical solution of the mixed problem for the fractional parabolic equation are presented using by rmodified CrankNicholson difference scheme. Stability ... 
Stability estimates for solution of IBVP to fractional parabolic differential and difference equations
Ashyralyev, Allaberen; Cakir, Zafer (Amer Inst Physics, 2016)In this work, we investigate initialboundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes ... 
Stable Difference Schemes for Fractional Parabolic PDE
Ashyralyev, Allaberen; Cakir, Zafer (Amer Inst Physics, 2011)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/tau ... 
Well posedness of source identification problem for the elliptic equation in a Banach space
[Abstract Not Available] 
WELLPOSEDNESS OF FRACTIONAL PARABOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH DIRICHLETNEUMANN CONDITIONS
Ashyralyev, Allaberen; Emirov, Nazar; Cakir, Zafer (Texas State Univ, 2014)We study initialboundary value problems for fractional parabolic equations with the DirichletNeumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates ...