A new efficient Two Derivative Runge-Kutta method (TDRK) of order five is developed for the numerical solution of the special first order ordinary differential equations (ODEs). The new method is derived using the property of First Same As Last (FSAL). We analyzed the stability of our method. The numerical results are presented to illustrate the efficiency of the new method in comparison with some well-known RK methods.

 The quality of industrial water from (Babil / 2 batteries factory in Baghdad) was  investigated, and evaluated the physical and chemical characteristics of the water discharged from sections ALShahen , final collection sank. The values were represented by pH, electrical conductivity, biological oxygen demand, chemical oxygen demand ,total suspended solid, total dissolved solid, sulfate, chloride and heavy metal. The sample  of water collocated  by  two samples per month for 6 months  was taking during the period from Novembers 2013 to May 2014. The results show that industrial waste water factory contains contaminations and has varying value rates the average of PH,EC, TDS, SO4, COD, Pb, Zn, for the final c

     The superconductor compound (YBa2Cu2.8Zn0.2O7+δ) is prepared by solid state reaction (SSR), Sol-gel (SG) and laser Pulse deposition (PLD) methods. We used the X-ray diffraction technique, which shows an orthorhombic crystalline system for all the samples, and increase in the high-phase (Y-123) and decrease in low-phase and vary in proportion according to the method of preparation with the emergence of some impurities. The behavior of the samples in terms of electrical resistance and critical temperature was investigated all samples showed superconducting behavior. The properties of the dielectric (real dielectric constant, imaginary dielectric constant, loss tangent, alternating electrical conductivity) were s

The  insect is diagnosed and named by the National Center of Biotechnology Information (NCBI), USA as the Mint leaf Beetle Chrysolina herbacea alnadawi (Duftschmid, 1825), (Coleoptera: Chrysomelidae). The diagnosis was performed depending on the DNA analysis by 73% similarity with Chrysolina herbacea (Duftschmid, 1825) sequence, In the present study. It is recorded as a new insect pest on mint plant Mentha  puleguim (L,1753) (Lamiaceae). DNA analysis confirmend that it is recorded for the first time in Iraq and the Arab world as well as the Middle East. Those insects were observed initially during August 2017 in residential gardens of Al-Bonooq district in Baghdad / Iraq.

Utilizing phase change materials in thermal energy storage systems is commonly considered as an alternative solution for the effective use of energy. This study presents numerical simulations of the charging process for a multitube latent heat thermal energy storage system. A thermal energy storage model, consisting of five tubes of heat transfer fluids, was investigated using Rubitherm phase change material (RT35) as the. The locations of the tubes were optimized by applying the Taguchi method. The thermal behavior of the unit was evaluated by considering the liquid fraction graphs, streamlines, and isotherm contours. The numerical model was first verified compared with existed experimental data from the literature. The outcomes re

  The industrial design occupies an important status in public and private life activities, because it contains a group of interactive, productive, and interconnected institutions, which is confirmed by Descartes who is credited for promoting the method of skepticism on sound foundations, showing that in order for us to search for the truth, we must suspect everything that we confront let it be once in our life time, especially our options in the scientific research and industrial design and product, starting from the knowledge heritage and the intellectual concepts that ascend to the levels of the functional, aesthetic and environmental performance, the significance of skepticism becomes clear. The research problem lies in this que