Browsing by Author "Cakir, Zafer"
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Approximate solution of the twodimensional singular integral equation
Ashyralyyev, Charyyar; Cakir, Zafer (Amer Inst Physics, 2014)Approximate quadrature formulas for the numerical calculation of the twodimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the twodimensional quasilinear singular integral ... 
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 ... 
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. ... 
Note on small singular values of sequences of matrices
Ashyralyyev, Charyyar; Cakir, Zafer (Amer Inst Physics, 2014)In this paper, some sequences of matrices for matrix pencils are considered. Properties of small singular values of these matrices are investigated. Estimates for singular values are obtained. The result of computer ... 
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 ... 
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 ... 
Spaces of continuous and bounded functions over the field of geometric complex numbers
Cakir, Zafer (Springeropen, 2013)Following Grossman and Katz (NonNewtonian Calculus, 1972), we construct the sets and of geometric complexvalued bounded and continuous functions, where A denotes the compact subset of the complex plane a,. We show that ... 
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 ... 
Stability of Difference Schemes for Fractional Parabolic PDE with the DirichletNeumann Conditions
Cakir, Zafer (Hindawi Publishing Corporation, 2012)The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1/(tau + vertical bar ... 
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 ... 
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 ...