Yazarlar
Yayınlar
- MakaleAçık Erişim2018Scopus SJRQ2Some approximations of second order derivatives complex-valued functions
Ashyralyyev, Ch; Ozturk, B.
In this paper, we generalize the well known finite difference method to compute derivatives of real valued function to approximate of second order complex derivatives w(zz) and w((zz) over bar) for complex-valued function w. Exploring different combinations of terms, we derive several approximations to compute the second order derivatives of complex-valued function. Several second order of accuracy finite differences to calculate derivatives are proposed. Error analysis in test examples is carried out by using Matlab program.
AtıfOpenAlex2İncele - MakaleAçık Erişim2015Scopus SJRQ2Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
Ashyralyyev, Charyyar; Dedeturk, Mutlu
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 accuracy in space variables for the approximate solution of this inverse problem are constructed. Stability, almost coercive stability, and coercive stability estimates for the solution of these difference schemes are established. For the two-dimensional inverse problems with mixed boundary value conditions, numerical results are presented in test examples.
AtıfScopus18WoS14OpenAlex18İncele - 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.
AtıfScopus1OpenAlex2İncele - 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.