Journal of Kufa for Mathematics and Computer

— In this paper, the existence of the global solution and its uniqueness is studied for the Second Order
Nonlinear Integro–Differential Fractional Equations with boundary conditions by utilizing the Picard approximation
method which is given by Sturble, 1962. Furthermore, several given results by Butris, 2010 have been extended.

: The stability of cycloalkanes strain energy, branched alkanes and linear alkanes, can be reasonably
modeled using the harmonic index (H), which is commonly defined as ( ) ∑

( ) ( )
where d(u) denotes the
vertex degree of u in graph G. In the current work, public equation is derived to the H index of vertex gluing and
certain graphs.

Based on Taylor Galerkin /pressure-correction (TGPC) finite element method, this work is
concerned with numerical study for incompressible Newtonian cable coating flows. The fluid motion is
described by using the Naiver-Stoke equations, which include two essential differential equations. One of
them is the equation for conservation of mass and the other one is the equation of conservation of momentum
equations.
Moreover, this study shows the free surface location methodology to determine the free surface position, and
the boundary conditions. The Phan-Thien (dh/dt) scheme is applied to calculate the change in the freesurface position. A number of computational investigations have been achieved to see the effect of different
factors on the processing of coating. This includes investigating the influence of variation in surface tension
on the shear rate and strain-rate stabilisation approach.