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.

Crime is one of the most severe challenges facing States, and strives to find preventive measures, reduce its seriousness, and prevent them; due to developments, crimes have increased, and emerging new patterns of crimes, there is an urgent need to prevent crimes and reduce their effects. Modernizing its punitive system and diverting it to correctional rehabilitative justice to redress the prejudice caused by the crime and rehabilitate the convicted person by using alternative measures to short-term imprisonment. This research emphasizes alternative sanctions' value to minimizing short-term imprisonment penalties and their impact on societal security through several goals like, the negative consequences, justifications, and alternatives

اللبرالية في الخطاب السياسي العراقي

لا يتسع هنا المجال لأستعراض كامل الخلفيات التاريخية التي انتجت اوضاعنا الاجتماعية والاقتصادية والسياسية المتأزمة الحالية، وجل ما يمكن قوله هو ان الشعب العراقي وخلال ما يربو على ربع قرن لم يحصد سوى عدد من الحروب والعقوبات الدولية فالازمات التي ولدت الرعب والجوع المستمر للشعب حتى يومنا هذا.

لقد كان الاقتصاد الوطني اول واكبر المتضررين من تلك الازمات ومن سياسات الدولة غير العقلانية فكانت ال

L'ouverture des frontières et la mondialisation des échanges,comme les projets de l'intégration font de la connaissance de langue un enjeu essentiel ,professionnel et culturel,pour le citoyen de demain.

L'Irak est un pays Anglophone où domine l'anglais,le français est considérée comme deuxième langue étrangère en Irak.

Notre mini-mémoire se compose de deux parties.Dans la première partie nous essayons d'examiner la place du français en Irak qui nous dirige à savoir pourquoi on apprend le français en Irak et qui l'apprend?Est –ce qu'il y a une coopération française?

Dans la deuxième partie nous examinons les problèmes du français en Ir

The current research (violence in contemporary Iraqi drawing) study the nature of the manifestations of violence, Kdoual effective in technical text and give these functions of the images have multiple connotations psychological symbolism, and has read the text in the light of the impact of the Iraqi social reality after the recent occupation of events and to study the impact of this stage on Iraqi contemporary painting, and this research consists of three chapters included the first chapter defines the research problem, which is illustrated through the following questions which are real problems require study and research .

Is constitute an objective treatment of the Academy of artistic representations of a phenomenon in the for

المتغير في النحت العراقي المعاصر

التجريد في النحت العراقي المعاصر

ABSTRACT

            The aim of the research is to identify the impact of the areas of organizational change in strategic marketing planning in cement factories operating within the city of Al-Khums, and this effect was measured using a questionnaire consisting of 28 phrases, and it was relied on the descriptive approach that suits the nature of the subject of the research, while the research community consists of heads And members of the board of directors, authorized managers, unit managers and heads of departments in the factories under study, which numbered 55 respondents, during the month of September of the year 2021, and a sample of the compreh

Ubikh is one of the most important tribes of the Northwest Caucasus and has a long history. Naturally, rebukes are an integral part of the Caucasus region. Their people were able to confront the Russian invasion of their lands like the rest of the Caucasus tribes to defend their existence, freedom and the right to build their independent state, but they were not able to resist the great Russian military progress they achieved on all sides. For the territory that belonged to Persia and the Ottoman Empire and ended the resistance of the Meridian movement in the Northeast Caucasus, the Russians left only the weak resistance of the tribes of the Northwest Caucasus led by the rebuke after Russia managed to eliminate all resistance movements i