Vedat Asil

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.

The Adomian decomposition method for the approximate solution of homogeneous differential equations with dual variable and dual coefficients

In this study, the decomposition method of Adomian has been applied for the approximate solution of homogeneous differential equations with dual variable and dual coefficients.

New characterization of d-focal curves in Minkowski 3-space

In this paper, we construct new D-focal curves in the Minkowski 3-space M₁³. Finally, we give some characterizations about D-focal curves in the Minkowski 3-space M₁³.

Solutions of Differential Equations for Dual Curvatures of Dual Biharmonic Curves with Spacelike Principal Normal in D31

In this paper, we study dual spacelike biharmonic curves with spacelike principal normal for dual variable in dual Lorentzian space . 3 1 D We consider differential equations of dual Bishop curvatures of dual spacelike biharmonic curves with spacelike principal normal for dual variable in dual Lorentzian space 3 1 D . This equations are seperated into dual and real parts such that the dual part of the equation is the higher order differential of each term in the real part.

On the oscillatory solutions of nonlinear hyperbolic differential equations by the decomposition method

In this study, the decomposition method for the approximate solutions of the linear and nonlinear deterministic or stochastic differential equations, is given by the decomposition (Adomian) and has been investigated in general. In applying the method to the nonlinear deterministic hyperbolic equations, the concept of the Adomian polynomials has been explained and one application of the method given for the general state is obtained.