ORCID "Ashyralyyev, Charyyar / 0000-0002-6976-2084" Matematik Mühendisliği Bölümü Koleksiyonu için listeleme
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APPROXIMATE SOLUTION FOR AN INVERSE PROBLEM OF MULTIDIMENSIONAL ELLIPTIC EQUATION WITH MULTIPOINT NONLOCAL AND NEUMANN BOUNDARY CONDITIONS
Ashyralyyev, Charyyar; Akyuz, Gulzipa; Dedeturk, Mutlu (Texas State Univ, 2017)In this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for ... -
Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
Ashyralyyev, Charyyar; Dedeturk, Mutlu (Hindawi Ltd, 2013)A finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the first and second ... -
Approximate solution of the two-dimensional singular integral equation
Ashyralyyev, Charyyar; Cakir, Zafer (Amer Inst Physics, 2014)Approximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral ... -
Approximation of the inverse elliptic problem with mixed boundary value conditions
Ashyralyyev, Charyyar; Dedeturk, Mutlu (Amer Inst Physics, 2014)The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space ... -
Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
Ashyralyyev, Charyyar; Dedeturk, Mutlu (Springer International Publishing Ag, 2015)In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of ... -
The Difference Problem of Obtaining the Parameter of a Parabolic Equation
Ashyralyyev, Charyyar; Demirdag, Oznur (Hindawi Ltd, 2012)The boundary value problem of determining the parameter p of a parabolic equation v'(t) + Av(t) = f(t) + p (0 <= t <= 1), v(0) = phi, v(1) = psi in an arbitrary Banach space E with the strongly positive operator A is ... -
Finite Difference Approximations of First Order Derivatives of Complex-valued Functions
Ashyralyyev, Charyyar; Ozturk, Beyza (Amer Inst Physics, 2018)In this study, we generalize the well-known finite difference method to compute derivatives of a real-valued function to approximate complex derivatives w(z) and w((z) over bar) for complex-valued function w. Exploring ... -
Finite Difference Method for Bitsadze-Samarskii Type Overdetermined Elliptic Problem with Dirichlet Conditions
Ashyralyyev, Charyyar; Akyuz, Gulzipa (Univ Nis, Fac Sci Math, 2018)In this paper, we apply finite difference method to Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions. Stability, coercive stability inequalities for solution of the first and second order ... -
Finite Difference Method for the Reverse Parabolic Problem
Ashyralyyev, Charyyar; Dural, Ayfer; Sozen, Yasar (Hindawi Publishing Corporation, 2012)A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive ... -
Finite Difference Method for The Reverse Parabolic Problem with Neumann Condition
Ashyralyyev, Charyyar; Dural, Ayfer; Sozen, Yasar (Amer Inst Physics, 2012)A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive ... -
A Fourth Order Approximation of the Neumann Type Overdetermined Elliptic Problem
Ashyralyyev, Charyyar (Univ Nis, Fac Sci Math, 2017)In this paper, we consider an inverse elliptic problem with Neumann type overdetermination and construct a fourth order of accuracy difference scheme for its solution. Stability, almost coercive stability and coercive ... -
High Order Approximation of the Inverse Elliptic Problem with Dirichlet-Neumann Conditions
Ashyralyyev, Charyyar (Univ Nis, Fac Sci Math, 2014)Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost ... -
High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
Ashyralyyev, Charyyar (Springer International Publishing Ag, 2014)The overdetermination problem for elliptic differential equation with Dirichlet boundary condition is considered. The third and fourth orders of accuracy stable difference schemes for the solution of this inverse problem ... -
Inverse Neumann problem for an equation of elliptic type
Ashyralyyev, Charyyar (Amer Inst Physics, 2014)Inverse problem for an elliptic differential equation with Neumann conditions is considered. Stability and coercive stability estimates for the solution of inverse problem with the overdetermination are obtained. The first ... -
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 ... -
A note on well-posedness of source identification elliptic problem in a Banach space
Ashyralyev, A.; Ashyralyyev, C.; Zvyagin, V. G. (Karaganda State Univ, 2020)We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Holder norms are obtained. In applications, four ... -
Numerical Solution of Neumann Type Elliptic Overdetermined Multipoint Mixed Boundary Value Problem
Ashyralyyev, Charyyar; Karabey, Suzan (Amer Inst Physics, 2019)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 ... -
Numerical Solution of the Nonlocal Reverse Parabolic Problem with Second Kind Boundary and Integral Conditions
Ashyralyyev, Charyyar; Gonenc, Ahmet (Amer Inst Physics, 2021)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. ... -
Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP
Ashyralyyev, Charyyar (Springer International Publishing Ag, 2017)This paper is devoted to a Bitsadze-Samarskii type overdetermined multipoint nonlocal boundary value problem (NBVP). This inverse problem is reduced to an auxiliary multipoint NBVP. Stability estimates for the solution of ... -
Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination
Ashyralyyev, C.; Cay, A. (Karaganda State Univ, 2020)In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation. The current paper is devoted to approximate of elliptic over determined ...