The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions. Using the matrix of Wang-Ball polynomials, the main singular perturbation problem is converted into linear algebraic equation systems. The coefficients of the required approximate solution are obtained from the solution of this system. The residual correction approach was also used to improve an error, and the results were compared to other reported numerical methods. Several examples are used to illustrate both the reliability and usefulness of the Wang-Ball operational matrices. The Wang Ball approach has the ability to improve the outcomes by minimi

Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems
witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich
method is applied in this work to one of the non-linear Sturm-Liouville problems. To the best of the authors’
knowledge, this technique of Newton-Kantorovich has never been applied before to solve the non-linear
Sturm-Liouville problems under consideration. Accordingly, the purpose of this work is to show that this
important specific kind of non-linear Sturm-Liouville differential equations problems can be solved by
applying the well-known Newton-Kantorovich method. Also, to show the efficiency of appl

This study aimed to review the aesthetic miracle in the story of Yusuf, peace be upon him, with the Al-Azeez’s wife, using the historical, descriptive and analytical approaches. The study sample was determined in the verses (30-34) of the Holy Quran. The study found that the beauty of Yusuf, peace be upon him, went beyond the four stages and steps of the aesthetic judgment that Feldman set, in which Yusuf’s beauty is nothing but a divine miracle that cannot be described, analyzed, and interpreted. Also despite the various concepts of beauty dealt with by ancient Greek philosophers such as the Pythagoreans, Socrates, Plato and Aristotle; and modern philosophers such as Descartes, Diderot, Kant, Hegel, and Schopenhauer are embodied in

The concept of viral marketing is a modern concepts in the field of marketing studies and research in marketing functions, by relying on the notion of the spoken word and the written word, it is worth mentioning the lack of local research on viral marketing, research, analysis, and application and significantly encouraged interest in this topic by addressing basic concepts stand on its first seeds with focus theoretically on the viral marketing campaign planning across a field research adoption questionnaire prepared for this purpose had been distributed to a sample on a random sample of students of the Business Administration Department / College of administration and economics / University of Baghdad of 56 students and using the adequa

Imam Sajjad was interested for the development of  individual realization faith when individual being an important element  among the component of society He asserted   the development of the spirit of  tolerance and the removal of intolerance and fulfillment of the promise Also,

Increased epidemic when Akbari in his book Explanation in the expression of the Koran

We have found through research , that administrative institutions on the outskirts of Kufa and their management is not as important as administrative institution in place that were associated with it and subject to its control ,as it often was express power , or poor ( if true ) expression , directors of the center for the suburbs , as it became clear to our diversity of those administrative institutions and prominent role in the interest of the affairs of the people and society in all aspects of life , and are the functions and different staff from the highest authority the suburbs represented by house of representatives ( the workers ) ,then workers abscess and Al-dhaqan and not to mention for other jobs came the actions of Bhaltsier a

Abstract This research deals with the Al-Tossy contribution Islamic government and explain the directions of early shiaa political thoughts and knowing the opinions of Al-Shakh Al- Tossy in the Islamic Government

الحمد لله الذي أمر عباده بكل خير واجب أو مندوب ، ووعدهم بالثواب على قليله وكثيره بقوله (فَمَنْ يَعْمَلْ مِثْقَالَ ذَرَّةٍ خَيْرًا يَرَهُ) سورة الزلزلة ، الآية ، ( 7 ) ونهاهم عن كل شر محرَّم أو مكروه وتوعدهم بالعقاب على كل محظور جليله وحقيره ( وَمَنْ

This dissertation explores the role of Iraqi E-press in crystallizing the orientations or directions of the public towards the local political issues like (demonstrations, parliamentarian elections, provincial elections, the public budget and its consequences, Iraq’s relations with neighboring countries, Iraqi HOR and its sessions, and the relation of the federal government with KRG). The dissertation’s main problem revolves around a central inquiry: what is the role of the Iraqi E-press in crystalizing the direction of the Iraqi public towards the local political issues?
The dissertation included a number of assumptions; the first assumes the relation of demographic variants (gender, age, social status, education, working status