Browsing by Author "Ashyralyev, Allaberen"
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Finite difference method for the thirdorder partial differential equation with nonlocal boundary conditions
Ashyralyev, Allaberen; Belakroum, Kheireddine (Maltepe Üniversitesi, 2019)The theory and applications of local and nonlocal boundary value problems for a thirdorder partial differential equations have been investigated widely in the literature. In the present work, we study the nonlocal boundary ... 
A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem
Ashyralyev, Allaberen; Sirma, Ali (Maltepe Üniversitesi, 2021)In this study, nonlocal boundary value Schr¨odinger type problem in a Hilbert space with the selfadjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes ... 
A Note On Fractional Schrödinger Differential And Difference Equations
Ashyralyev, Allaberen; Topçu, Betül (Maltepe Üniversitesi, 2009)The initial value problem for the fractional differential equation i du dt + Au + Rt 0 α (s) D1/2 s u (s) ds = f (t) , 0 < t < 1, u (0) = 0 (1) in a Hilbert space H with a self adjoint positive definite ... 
A note on parabolic differential equations on manifold
Ashyralyev, Allaberen; Sözen, Yaşar; Hezenci, Fatih (Maltepe Üniversitesi, 2021)t. The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the wellposedness of nonlocal boundary value problems (NBVP) in Holder spaces. It also establishes ... 
A note on the elliptictelegraph identification problem with nonlocal condition
Ashyralyev, Allaberen; AlHammouri, Ahmad (Maltepe Üniversitesi, 2021)In the present paper, a source identification problem for elliptictelegraph equation with nonlocal condition is studied. Stability estimatesfor the differential equations of the source identification problem are ... 
A numerical algorithm for the involtury hyperbolic problem
Ashyralyev, Allaberen; Abdalmohammed, Barez (Maltepe Üniversitesi, 2021)In the present paper, hyperbolic type involutory partial differential equations are studied. The first and second order of accuracy difference schemes for the numerical solution of the initial boundary value problem for ... 
A numerical algorithm for the involutory parabolic problem
Ashyralyev, Allaberen; Saeed Ahmed, Amer Mohammed (Maltepe Üniversitesi, 2019)Applying Fourier series, Laplace and Fourier transform methods, we can obtain the solution of several parabolic type involutory differential problem. Furthermore, the first and second order of accuracy difference schemes ... 
A numerical algorithm for the involutory parabolic problem with Neumann condition
Ashyralyev, Allaberen; Ahmed, Amer (Maltepe Üniversitesi, 2021)In the present paper, the new absolute stable difference schemes for the numerical solution of the one dimensional parabolic partial differential equation with time involution are investigated. For first and second order ... 
A numerical algorithm for the involutory schrödinger type problem
Ashyralyev, Allaberen; Abbas, Twana (Maltepe Üniversitesi, 2019)It is known that various problems in physics lead to the Schr¨odinger equation. Methods of solutions of the problems for Schr¨odinger equation have been studied extensively by many researchers (see, e.g., [1, 2, 3, 4], and ... 
A numerical algorithm for the source identification elliptictelegraph problem
Ashyralyev, Allaberen; AlHammouri, Ahmad (Maltepe Üniversitesi, 2019)The theory of local and nonlocal boundary value problems for elliptictelegraph equations and its applications have been investigated by many scientists in [1][4]. In the present study, a spacedependent identification problem ... 
A numerical algorithm for the source identification parabolicelliptic problem
Ashyralyev, Allaberen; Arıkan, Cağın (Maltepe Üniversitesi, 2019)The theory and applications of various local and nonlocal boundary value problems for parabolicelliptic equations have been investigated by many scientists in (see, e.g., [1] [4] and the references given therein). In the ... 
A numerical algorithm for the source identification telegraph problem
Ashyralyev, Allaberen; AlHazaimeh, Haitham (Maltepe Üniversitesi, 2021)In the present paper, source identification problem for the telegraph equation is investigated. The first order of accuracy absolute stable difference scheme for the numerical solution of the one dimensional identification ... 
A numerical algorithm for the third order partial differential equation with time delay
Ashyralyev, Allaberen; Hincal, E.; İbrahim, S. (Maltepe Üniversitesi, 2019)The theory and applications of various local and nonlocal boundary value problems for the third order partial differential equations have been investigated by many scientists in (see, e.g., [1] [3] and the references given ... 
Numerical solution of the system of fractional differential equations observing epidemic models
Ashyralyev, Allaberen; Kaymakamzade, B.; Hayder, I. D. (Maltepe Üniversitesi, 2019)Classical epidemic fractional and differential models have been proposed and studied by many authors in (see, e.g., [1] [4]). In the present study, numerical solutions of fractional differential equations observing epidemic ... 
On elliptic differential and difference problems in a Hilbert space with special type nonlocal conditions
Ashyralyev, Allaberen; Hamad, Ayman (Maltepe Üniversitesi, 2019)The nonlocal conditions v(0) = v(2π), 2 ∫π 0 v(s)ds = 0 were considered by Sobolevskii in [1] for the study of summability of Fourier series in Cnorm. Such type conditions are usefull for study of several differential ... 
On Rmodified CrankNicholson difference schemes for the source identification parabolicelliptic problem
Ashyralyev, Allaberen; Cagin, Arikan (Maltepe Üniversitesi, 2021)t. In the present paper, a spacedependent identification problem for parabolicelliptic equations is investigated. The second order of accuracy rmodified CrankNicholson difference schemes for the numerical solution of ... 
On the boundedness of the Schrödinger type differential equation with time involution
Ashyralyev, Allaberen; Abbas, Twana (Maltepe Üniversitesi, 2021). In the present paper, the initial value problem for the Schrodinger ¨ type involutory partial differential equation is studied. Applying Green’s function of space operator, we get formula for solution of this problem. ... 
On the numerical solution of parabolic stochastic differential equation
Ashyralyev, Allaberen; San, Mehmet Emin (Maltepe Üniversitesi, 2009)We are interested in studying the stable difference schemes for the approximate solutions of the nonlocal boundary value problem for parabolic stochastic differential equation du(t) + Au(t)dt = f(t)dωt (0 ≤ t ≤ T), u(0) ... 
On the parabolic inverse problem with an unknown source function
Ashyralyev, Allaberen; Demirdağ, Öznur; Erdoğan, Abdullah S. (Maltepe Üniversitesi, 2009)Let Ω be the unit open cube in the n−dimensional Euclidean space R n(0 < xk < 1, 1 ≤ k ≤ n) with boundary S, Ω = Ω ∪ S. In [0, 1] × Ω we consider the mixed boundary value problem for the multidimensional parabolic equation ... 
On the stability of nonlocal boundary value problem for a third order PDE
Ashyralyev, Allaberen; Belakroum, Kheireddine (Maltepe Üniversitesi, 2019)In the present paper, we study the nonlocal boundary value problem for third order partial differential equations in a Hilbert space with a selfadjoint positive definite operator. The main theorem on stability of this ...