Mahmut Ergüt

Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method

A steady flow problem of a viscous incompressible fluid through an orifice is widely applicable to many physical phenomena and has been studied previously by many researchers. A problem of such type has been solved by applying LAD method given by Roache [Comp. Fluids 3 (1975) 179]. The resulting system of linear equations is solved by Adomian decomposition method [Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston, MA, 1994]. We study an analytic solution of a steady flow problem of a viscous incompressible fluid through an orifice by using the Adomians decomposition method. The numerical results show the effectiveness of the method for this type of equations, they show that the present approach is relatively easy and highly accurate.

Isotropic geometry of graph surfaces associated with product production functions in economics

A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this paper, we study the product production functions of 2 variables in terms of the geometry of their associated graph surfaces in the isotropic

On harmonic curvatures of null curves of the AW(k)-type in Lorentzian space

3-

Geometry of the Solutions of Localized Induction Equation in the Pseudo-Galilean Space

space

An efficient approach to the Klein-Gordon equation : an application of the decomposition method

\mathbb{I}^{3}

On the distribution parameter of null scrolls in the Minkowski 3-space R3/1

. In particular, we derive several classification results for the graph surfaces of product production functions in

Bertrand curves of AW(k)-type in Lorentzian space

\mathbb{I}^{3}

Curves of AW(k)-type in 3-dimensional null cone

with constant curvature.

Bertrand curves in Galilean space and their characterizations

We investigate null curves of the AW(k)-type (1 ≤ k ≤ 3) in the 3-dimensional Lorentzian space, L3, and give curvature conditions of these curves by using the Cartan frame. Moreover, we study harmonic curvatures of curves of AW(k)-type and show that if the α Frenet curve is of type AW(1), then α is a null helix.

On harmonic curvatures of a Frenet curve in Lorentzian space

We study the surfaces corresponding to solutions of the localized induction equation in the pseudo-Galilean space . We classify such surfaces with null curvature and characterize some special curves on these surfaces in .