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.

تعد التنمية المستدامة حق للكل البشرية وانها تهدف لتطوير المجتمعات البشرية من كافة النواحي وبشكل دائم وهي تهدف في القضاء على الفقر والجوع وهذه الظاهر ظاهرة منتشرة في العراق اذ ان المواطنين فيه يعشون في حالات تفرقة ودائما هم في حالات حروب اويعيشون في حصار اقتصادي او في اوقات كثيرة يعشون باوقات ازمات مما يجعلهم في فقر دوري ارض لتطبيق هدف التنمية المستدامة الذي ينص على القضاء على ،

The nation-building process in fragile states is complex, often involving multifaceted challenges and opportunities. A pertinent example is Iraq post-2003, which serves as a model to study the intricacies of rebuilding a nation in the aftermath of conflict. During this period, we witnessed a significant international intervention aimed at establishing democratic governance, fostering economic development, and restoring social stability. Iraq’s nation-building journey showcases both successes and shortcomings. Establishing a representative government marked a step towards inclusivity and political participation, yet sectarian tensions persisted, hindering cohesive national identity. Economic initiatives aimed to harness Iraq's oil resou

برزت الشخصانية في حقبة تاريخية كان فيها العالم و اوربا وفرنسا تشهد انتهاء حقبة حضارية امتدت من نهاية القرون الوسطى حتى اوائل القرن العشرين تميزت بكونها رأسمالية التركيب، ليبرالية المنهج، وبرجوازية القيم، جاءت الشخصانية ليس فقط محاولة للإجابة عن حقبة جديدة ولادة حضارة جديدة لاتزال غامضة المعالم فحسب انما ايضا كرد على المدرسة الماركسية المادية والوجودية الملحدة محددة هدفها الابعد بإعادة صنع النهضة

ان الداسات القرانية تعد من الدراسات المتعلقة في اللغة العربية لانها تتعلق بدراسة جانب من جوانب اعجاز القرأن الكريم لذلك قمت بدراسة جانب من جوانب اعجاز القران الا وهي لفظة اكل

Naber and toning in the modern Arab poetry Mahmoud Darwish, a model

Rights of child in the community crisis Iraqi child model The study aimed to identify the types of violation against children in the Iraqi crisis as well as to develop community coping mechanisms to these violations and promote the rights of the child health psychological , social and legal . the first chapter discusses the research problem and its importance and purpose of the research problem and its importance and purpose of the research and the most important terms in the A- Rights of the child ,B- crisis , chapter 2 rights of the child ensure the historical roots , of children’s rights in the holy quran and the sunnah, and legal rights through the twentieth century and the beginnings of century xx, the se through the twentieth cen

The use of story to convey educational content which serves particular purposes is common use long ago, such as we see in Quran`s stories and bible stories which consider good examples, therefore the story individuates by this mission which has magnificent influence minds of the readers.

     The Hasidic story is one of Hebrew literature affluents from it`s outset, therefore it has distinctive role in spread thoughts and principles which comes and believes it the Hasidic movement which considers reformatory Jewish religious  movement. It aims to reforms the Jewish individual avvording to it`s vision and thoughts.

     This paper research contains an introduction which presets s

The research aims to improve operational performance through the application of the Holonic Manufacturing System (HMS) in the rubber products factory in Najaf. The problem was diagnosed with the weakness of the manufacturing system in the factory to meet customers' demands on time within the available resources of machines and workers, which led to time delays of Processing and delivery, increased costs, and reduced flexibility in the factory, A case study methodology used to identify the reality of the manufacturing system and the actual operational performance in the factory. The simulation was used to represent the proposed (HMS) by using (Excel 2010) based on the actual data and calculate the operational performance measures

The people lived under Mamluk rule, distress, poverty, famines, oppression of princes, rulers, And their domination and he always wished for a just ruler to relieve his misery, and remove the injustice

from him, so they found in Al-Nasser Mohammed tend to establish justice.

When Al-Nasser ascended the throne of the Sultanate, there was a rise or fall in prices, so he pursued Prices will end and punish those

who come out for it. And you talk about this search for a relationship

Sultan Al-Nasser with the poor classes in society and his keenness to pursue their affairs was compassionate On them, mer