Sharif al-Murtada was a historical figure, He is the author of many works in which scientific material is important for scientific studies and research, Because of the importance of his writings and his age, and the impact he left in the intellectual movement was one of the stars of Islamic civilization .

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.

مشكلة البحث:- تواجه المجتمعات العربية في المرحلة الراهنة ,تحديات كبيرة تستهدف الشاب العربي ،والتأثير عليه في الجوانب الاجتماعية والتربوية والثقافية والاقتصادية والأمنية والسياسية ولغض تسليط الأضواء على هذه الجوانب ولاسيما الجانب الاجتماعي،من هنا تبرز مشكلة البحث الحالي في التعرف على توقعات الشباب العربي لمشكلاتهم الاجتماعية في المرحلة الراهنة .

أهمية البحث:-

دور شبكات التواصل الاجتماعي في ثورات الربيع العربي

      The Islamic conquest for Persian country had the program of the civil and intelegical movement for the human

عاش البيروني في القرن الرابع الهجري الذي كان يمثل مثاراً للصراعات السياسية والفكرية، ومن خلال هذه الأوضاع المتأزمة برز البيروني كعلم من اعلام هذا القرن، ومن أبرز مفكري الحضارة العربية الاسلامية فنجده كتب في الرياضيات

The intellectual and revolutionary movements that have emerged since the beginning of the second half of the first century of the Islamic era did not appear suddenly, but must have preceded by a social consciousness, multi-forms, in the forefront of class awareness and religious awareness, and awareness was more painful, Of the society of the Arabian Peninsula - before Islam - feel it and suffer from it, a sense of injustice and tyranny, oppression and humiliation, and the destruction of dignity as well as poverty and hunger, and the injustice of tribal laws, and tyranny of each other and the tyranny of their heads on the tribes members and families belonging to this tribe or hill

Longer Kurdish poetry translator important tributary of the tributaries of the Iraqi culture contemporary , and a wealth of knowledge rich experiences of an important segment of the Iraqi people , nicked culturally with the languages and cultures of the neighboring nations have , however, much of this potery under depends on the effect of the Arab form and complex , but suffered marginalization and loss as a result of repression by the governments of the country by successive throughout history , and tried to search that offers a vision on the theme of the place and its implications in the Kurdish poetry translator, through the election of a collection of poems and chisels, vertical than that of quantum poetic enormous , but thenature of

The topic of (pilgrims) of the old and modern subjects at the same time, as it extends his foot and is associated with the beginning of speech and argument, a modern because it is based on studies and research (and the theory of pilgrims) from (Austin and Cyril) through (Charles Breman) to (Aristotle) ), It is worth mentioning here to mention the role of (Hazem al - Qartagni) in mentioning the value of the pilgrimage of hair and saying the use of persuasion in the hair, is palatable and acceptable. Hence our research applied these views, and we chose the pendants as a model for that matter.

This research deals with the aesthetics of describing nature and the joys of urban life in the environment of Fatimid Egypt, among a group of poets, who were deceived by its enchanting beauty and breathtaking scenery, through it they depicted the reality of the life they live, and the things that involved them, as well as showing their personal culture, and the joys of life that experience, articulating this with a descriptive and analytical study, focusing on how the poet portrayed the visual scene, in an important stage of Arabic literature in Egypt.