This paper is concerned with the numerical solutions of the vorticity transport equation (VTE) in two-dimensional space with homogenous Dirichlet boundary conditions. Namely, for this problem, the Crank-Nicolson finite difference equation is derived.  In addition, the consistency and stability of the Crank-Nicolson method are studied. Moreover, a numerical experiment is considered to study the convergence of the Crank-Nicolson scheme and to visualize the discrete graphs for the vorticity and stream functions. The analytical result shows that the proposed scheme is consistent, whereas the numerical results show that the solutions are stable with small space-steps and at any time levels.

Urea formaldehyde resin was prepared by using basic media by yield 95%. The Remaining of ureaplasts resin were prepared in acetic acid media by high yield. Alkyde resins were prepared by condensation polymerization by react Succinic, Maleic, Phthalic anhydrides with Ethylene glycol or Glycerol. Select samples of the prepared alkyde resins were mixed with Azo dyes in special ratio. The mixtures were used as coatings for wood, and compaised with pure dyes. The Coating that some alkyde resins showed better adhesion from using dyes alone. Preparation of wood coating by mixing ureaplast resins and alkyde resins with Azo dyes in special ratios. The coating showed better adhesion, brighter colors and better resistance to heat from Preceding coat

   Two tetradentate ligands type (N₂O₂) and their complexes with Co^II, Ni^II and Zn^II ions were synthesized via two steps; in the first, the precursors W1 and W2 were synthesized from the reaction of  2,6-diamine pyridine or 2,4-diamine tolylene with 2,5-hexanedione respectively in a 2:1 mole ratio. In the second step the ligands [H₂L¹] and [H₂L²] were prepared from the reaction of the two precursor’s with 2-hydroxy-1-naphthaldehyde in 1:2 mole ratio. Metal complexes were synthesized by the reaction of the ligands with equivalent amounts of the metal chloride. The prepared compounds were characterized with the

This study included the preparation of the dihalogens -1,3 metalla-2[3] ferrocenophanes
like Cp2NbS2Fc,(tBuCp)2NbS2Fc,Cp2NbSe2Fc and (tBuCp)2NbSe2Fe where (Fc=ferrocence)
These complexes has been prepared from the reaction of (R)2 NbCl2 with FCLiM2 ,
where(R=Cp,tBuCp) (M = S,Se) under refluxing in toluene,the reaction was carried under
Argon atmosphere .
These complexes were characterized by elemental microanalysis ,Masse spectra scopy,
nuclear magnetic resonance (
1
HNMR) and melting points .

After its 35-year occupation of Japan and the US occupation, Korea has set its sights on a long-term goal of building its country and establishing its foundations, unobtrusive and unchecked by the problems and wars that have stood in the way of its goal, surpassing all odds and achieving the best results. The most powerful Asian and global economies, which gained the respect of the world and its appreciation of the experience has become referred to as boys

That communication between people is not only through speech but includes other images of the most important body inspiration. And that the Koran worked on the diversity of ways in which the meanings of the hearer and did not stop at the limit of speech, but included situations where the use of body inspiration and indicate its importance in communication. However, signals and organ movements play a major role in the process of communication between people. Facial and hands movements play an important role in the communication process as they are a tool for communicating ideas to others.

Abstract

  The study aims to find out the impact of expectations and perceptions in determining the position of the customer service quality received by him. Represent the expectations and perceptions customer’s key of service quality determinants. The customer's requirements and needs main pivot, who must be built all events and activities and efforts of service organizations, including the hotel and organizations that operate in an environment known as highly competitive , intensification and  complexity of the conditions set by the customer and increasing day after day. The study sample of three Luxury hotels in Kurdistan region of Iraq a model. The use of service quality m

New 1,3-oxazol-5(4H)-one(3) was synthesized by cyclization of[(4-Methyl phenyl-carbonyl)amino]acetic acid (2). The starting materials were readily obtained by acylation of 2-amino acetic acid (Glycine) with 4-methyl phenyl chloride .Imidazole(4) was synthesized by reaction of compound (3) with hydrazine hydrate (99%). Compound (4) was isolated and characterized by 1HNMR , FTIR , uv-vis spectroscopy and elemental analysis (C.H.N). Compound (4) has been used as a ligand (L) to prepare a number of metal complexes with Cr(III), Mn(II), Co(II), Ni(II) , Cu(II) and Zn(II).
The prepared complexes were isolated and characterized by FTIR and Uv-vis spectroscopy elemental analysis (C.H.N), flame atomic absorption technique, as well as magnetic

A new tridentate ligand has been synthesized derived from phenyl(pyridin-3-yl)methanone. Three coordinated metal complexes were prepared by complexation of the new ligand with Cu(II), Ni(II) and Zn(II) metal salts. The new Schiff base “benzyl -2-[phenyl(pyridin-3-yl)methylidene]hydrazinecarbodithioate” and the new metal complexes were characterized using various physico-chemical and spectroscopic techniques. From the analysis results, the expected structure to the metal complexes are octahedral in geometry for Cu(II) complex, square planner for Ni(II) and tetrahedral for Zn(II) complex. The new compounds are expected to show strong bioactivity against bacteria and cancer cells.