Durmaz, Muhammet Enes; Yapman, Ömer; Kudu, Mustafa; Amiraliyev, Gabil M.

The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

Amiraliyev, Gabil M.; Yapman, Ömer; Kudu, Mustafa

This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder terms in integral form. The emphasis is on the convergence of numerical method. It is shown that the method displays uniform convergence in respect to the perturbation parameter. Numerical results are also given.

Gezer, Aydin; Altunbas, Murat

Let (M, g) be an n–dimensional Riemannian manifold and T* M be its cotangent bundle equipped with a Riemannian metric of Cheeger- Gromoll type which rescale the horizontal part by a positive differentiable function. The main purpose of the present paper is to discuss curvature properties of T* M and construct almost paracomplex Norden structures on T* M: We investigate conditions for these structures to be para-Kähler (paraholomorphic) and quasi-para-Kähler. Also, some properties of almost paracomplex Norden structures in context of almost product Riemannian manifolds are presented.

Gezer, Aydın; Altunbasz, Murat

The present paper is devoted to some results concerning with the complete lifts of an almost complex structure and a connection in a manifold to its (0; q)-tensor bundle along the corresponding cross-section.

Gunduz, Birol; Hussain Khan, Safeer; Akbulut, Sezgin

In this paper, we study an implicit iterative algorithm for two nite families of nonself asymptotically nonexpansive mappings. We prove some weak and strong convergence theorems for this iterative algo- rithm. Our results improve and extend the corresponding results of Soltuz [4], Xu and Ori [5], Khan et al. [6].