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.
The interaction in the city is reflected in the movement of people motivated by their activities and their economic and social goals, which include many variables subject to the planning process in the interpretation of this movement and the mapping of trends of transport intensity through the concept of transport function and its functional relationships with the uses of the earth in the sustainability and effectiveness of the movement of transport and Economic activity and population movement. Transport planners are concerned with the requirements of land use, which are linked to and included in the transport planning process as a factor for the future transport needs. There is a strong relationship between the transport system
... Show MoreIn this research, titanium dioxide nanoparticles (TiO2 NPs) were prepared through the sol-gel process at an acidic medium (pH3).TiO2 nanoparticles were prepared from titanium trichloride (TiCl3) as a precursor with Ammonium hydroxide (NH4OH) with 1:3 ratio at 50 °C. The resulting gel was dried at 70 °C to obtain the Nanocrystalline powder. The powder from the drying process was treated thermally at temperatures 500 °C and 700 °C. The crystalline structure, surface morphology, and particle size were studied by using X-ray diffraction (XRD), Atomic Force Microscopy (AFM), and Scanning Electron Microscope (SEM). The results showed (anatase) phase of titanium dioxide with the average grain size
... Show MoreIn this paper, Min-Max composition fuzzy relation equation are studied. This study is a generalization of the works of Ohsato and Sekigushi. The conditions for the existence of solutions are studied, then the resolution of equations is discussed.
يُعد الذكاء الاصطناعي من العلوم الحديثة التي ارتبطت بالإنسان منذ العقود الخمسة الماضية، وأصبحت السياسة الرقمية جزءاً لا يتجزأ من المجتمع لكونها تُستعمل في أغلب مجالات حياة الإنسان. وهذا ما شجع صانعي السياسات التكنولوجية الجديدة في التفكير بكيفية توظيفه لخدمة مصالحهم العليا السياسية والاقتصادية، بغض النظر عن بذل الجهود للتفكير في تنظيمهم للذكاء الاصطناعي التوليدي، ووضع قيود تراعي التشريعات الدينية، وقوا
... Show MoreThis study investigates successive carriage, a distinct legal and commercial form of international transport, arising from the absence or irregularity of direct transport routes. Under this system, multiple carriers perform consecutive stages of transport under a single document, with the first carrier fully liable to the consignor or passenger, including breaches in subsequent stages. The research examines the role of direct and indirect transport documents and the concept of recourse, allowing a carrier who has compensated an injured party to seek reimbursement from other carriers. It highlights carriers’ duties to inspect goods, document their condition, and collect freight, and critically analyzes maritime carrier liability under Iraq
... Show MoreIn this paper the definition of fuzzy anti-normed linear spaces and its basic properties are used to prove some properties of a finite dimensional fuzzy anti-normed linear space.