The Caputo definition of fractional derivatives introduces solution to the difficulties appears in the numerical treatment of differential equations due its consistency in differentiating constant functions. In the same time the memory and hereditary behaviors of the time fractional order derivatives (TFODE) still common in all definitions of fractional derivatives. The use of properties of companion matrices appears in reformulating multilevel schemes as generalized two level schemes is employed with the Gerschgorin disc theorems to prove stability condition. Caputo fractional derivatives with finite difference representations is considered. Moreover the effect of using the inverse operator which transmit the memory and hereditary effects to other terms is examined. The theoretical results is applied to a numerical example. The calculated solution has a good agreement with the exact solution.
Zanthoxylum L. 1753 belongs to the family Rutaceae. The plant, with its forest green color and with its distinctive fragrance attracted the attention of the study, specially it was an exotic to the environment of Iraq. Zanthoxylum is an exotic plant produced to Iraq and planted in gardens as an ever-green aromatic plant named (BUKHUR HINDI), as it is known among sellers and farmers in Iraq, because of the aromatic smell that emanated from the leaves and resembles Indian incense. The plant adapted to environmental conditions and succeeded in growing and blooming. It was examined and diagnosed for the first time in Iraq as Zanthoxylum beechyanum K. Koch. (Chinese pepper tree). Morphological characteristics and anatomical characteristi
... Show MoreRoaming data is an important source of information about the political and social activities of a country. And this is true for Iraq situation after 2003 when the mobile companies started their business. In this paper, data of subscribers roamed onto foreign networks (inbound roamers) is collected; it consists of the name of the Radio Control Point, the counter dealing with this type of information, Mobile Network Code/Mobile Country Code tupel. This data is processed. Results obtained out of this process show the classification of the inbound roamers (according to their countries) during the occupation period (2008-2009). These results reflect the political situation of Iraq at that time. Information resulted from this proc
... Show MoreA survey of haemoproteids among the eight species of Iraq rallids were carried out in the
middle, south, and west of Iraq. Two haemoproteods were recorded, Haeomproteus porzanae
(Galli-Valerio, 1907) as a new record for Iraq and the new species H. baghdadensis described
from Fulica atra L. collected in the middle of Iraq.
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 Target costing is an important modern techniques strategic managerial accounting.which is been shown active adoption to changes in contemporary business environments Inaddition,they had been adopted by the units as aresult of the growth in the strategic approach in the man agement..the goal of using target costing is to build and strengthen competitive abilities of economic units thvough introducing appropriate ways to decrease cost and improving quality of product The hypothesis reflects interest in achieving the goal of the research,ie.research question,The hypothesis use target costing to assist economic units to decrease cost and in the manner that leads to competitive advantages while surviving and flourishing in current busines
... Show MoreMany of the Iraqi agricultural researches are used spraying technique to add chemical products including pesticides and growth regulators. Various studies were performed to study the effect of these substances at different concentrations to improve plant production. In order to adopt specific criteria of spraying researches and to replicate them easily, it is a necessary to mention all information related to the spraying processes and regulations for improving sprayer’s performance by increasing the amount of pesticide deposited on the target. The current study aims to survey Iraqi researches in details and analyse them randomly. Also, to highlight on the importance of information applied in sprayi
A numerical investigation has been performed to study the effect of eccentricity on unsteady state, laminar aiding mixed convection in a horizontal concentric and eccentric cylindrical annulus. The outer cylinder was kept at a constant temperature
while the inner cylinder was heated with constant heat flux. The study involved numerical solution of transient momentum (Navier-Stokes) and energy equation using finite difference method (FDM), where the body fitted coordinate system (BFC) was
used to generate the grid mesh for computational plane. The governing equations were transformed to the vorticity-stream function formula as for momentum equations and to the temperature and stream function for energy equation.
A computer progra
In this paper the effect of engagement length, number of teeth, amount of applied load, wave propagation time, number of cycles, and initial crack length on the principal stress distribution, velocity of crack propagation, and cyclic crack growth rate in a spline coupling subjected to cyclic torsional impact have been investigated analytically and experimentally. It was found that the stresses induced due to cyclic impact loading are higher than the stresses induced due to impact loading with high percentage depends on the number of cycles and total loading time. Also increasing the engagement length and the number of teeth reduces the principal stresses (40%) and
(25%) respectively for increasing the engagement length from (0.15 to 0