In this paper, we discuss the difference between classical and nonclassical symmetries. In addition, we found the non-classical symmetry of the Benjamin Bona Mahony Equation (BBM). Finally, we found a new exact solution to a Benjamin Bona Mahony Equation (BBM) using nonclassical symmetry.

The problem of steady, laminar, natural convective flow in an square enclosure with and without partitions is considered for Rayleigh number (103-106) and Prandtl number (0.7). Vertical walls were maintained isothermal at different temperatures while horizontal walls and the partitions were insulated. The length of partition was taken constant. The number of partitions were placed on horizontal surface in staggered arrangement from (1– 3) and ratio of partition thickness (H/L= 0.033, 0.083, 0.124). The problem is formulated in terms of the vorticity-stream function procedure. A numerical solution based on a program in Fortran 90 with the finite difference method is obtained. Representative results illustrating the effects of the thickn

 This study was conducted to evaluate serial concentrations of commercial formulation suspension (Antrol) of Bacillus thuringiensis israelensis. As a microbial control agent against Chrysomya albiceps (blow fly) larvae and adults under laboratory conditions. The results revealed that percentages of accumulated mortalities of second instar larvae were 30 - 63.33% for the doses 100 – 2000 ppm respectively , Mortalities rate increased with increased of time, treating larval food with 1000 ppm of bacterial suspension caused mortality rate reached 30% after two days, later reached 72.96% after 12 days. The bio assays results of treating adults food showed that mortalities percentage were 6.67 – 73.33 when their food was tre

Background: The need for assisted reproduction technologies (ART) for the establishment of pregnancies has steadily increased worldwide. Therefore, it is of vital importance that an efficient sperm preparation technique used for retrieval of high-quality spermatozoa contributes to the creations of high-quality embryos, with high implantation potential.
Objective: to study the effect of swim up technique on human sperm motility and DNA integrity.
Subject and methods: A prospective study carried on 70 samples of human semen; each sample, divided into 2 parts, one part was prepared by swim-up technique and the other not, and then study sperm motility and DNA integrity in both parts. Sperm DNA integrity was determined using a modified

The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.

In this paper we study the effect of magnetichydrodynamic upon the boundary
layer flow and heat transfer on a permeable unsteady stretching sheet with non –
uniform heat source / sink. It found that the momentum and energy equations are
controlled by many different dimensionless parameters such as prandtle number
pr , unsteadiness parameter A , constant pressure So , coefficient of the space
dependent  A , the temperature dependent  B , and the MHD parameter M . The
analytic solutions are obtained by using suitable similarity transformations and
homotopy analysis method (HAM).
Furthermore, we analysis the effects of all dimensionless number, there are
mentioned above, upon the velocity distribution and

      The aim of this research is to find out about the methods used by the teachers of the subjects (choir, voice training, singing groups) used to warm up in voice training. In the Department of Music of the Faculty of Fine Arts University of Baghdad. The limits of this research were for the academic year (2017-2018). Explanation in the theoretical framework of warm-up types The first part of the body warms the body in terms of relaxation, body moderation, head rotation, tongue exercises, mouth opening, facial mask movements, yawning.The second course will warm up the sound exercises warm up the sound through different ladders (diatonic and chromate), and ladder accordions.And the third topic warm up the impris

The simulation have been made for  3D flow structure and heat  transfer with and without

longitudinal riblet upstream of leading edge vane endwall junction of first stage nozzle guide vane .The research explores concept of weakening the secondary flows and reducing their harmful effects.Numerical investigation involved examination of the secondary flows ,velocity and heat transfer rates by solving the governing equations (continuity, Navier -stokes and energy equations ) using the known package FLUENT version (12.1).The governing equations were solved for three dimentional, turbulent flowe, incompressible with an appropriate turbulent model (k-ω,SST) .The numerical solution was carried out for 25 mode