This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

Praise be to God, Lord of the Worlds, who has made His way for His servants who know in the depths and who are devoted to Him at all times and times, so He has delivered to Himself their pain from two exiles, and His prayers and peace are the perfect trust in the presence of the pearl of charity of existence. Possessor of great intercession and praiseworthy status until the day of meeting and eternity, and upon his family and companions, the people of tomorrow, steadfastness, generosity, and generosity, and after that

For a long period of time, I have been asking myself: Why did he attack so many contemporary books, especially Sufism? Why this unlimited financial expenditure on printing, binding, beautifying and enticing readers?

This research, the author deals with a number of topics, including: What is interpretation?, the difference between exegesis and I interpretation of the Quran, the meaning of interpretation in the term, and the meaning of interpretation in the terminology of the people of interpretation, It deals with then, he demonstrates the interpretation and reasoning meanings of language, and the need of Muslims to interpret the Quran, and limitations of the use of interpretation and exegesis, On the interpretation of opinion and when it began, and the need of Muslims to explain, Finally he discusses the ways of interpretation, and the conditions to be provided in the interpreter.

Amorphization of drug has been considered as an attractive approach in improving drug solubility and bioavailability. Unlike their crystalline counterparts, amorphous materials lack the long-range order of molecular packing and present the highest energy state of a solid material. Co-amorphous systems (CAM) are an innovative formulation technique by where the amorphous drugs are stabilized via powerful intermolecular interactions by means of a low molecular co-former.

This review highlights the different approaches in the preparation of co-amorphous drug delivery system, the proper selection of the co-formers. In addition, the recent advances in characterization, Industrial scale and formulation will be discussed.

The research aims to reveal the professional self and the school climate among the educational counselors. The research problem is crystallized in the following:

1-Identifying the professional level of the educational counselors.

2- Knowing the level of the school climate with the educational counselors.

3- Are there statistically significant differences in the professional self and the school climate between the educational counselors of different gender (male / female)?

4- Is there a relationship between the professional self and the school climate of the research sample?

To answer these questions, the research was conducted on educational counselors in secondary schools in the district of Falluj

Evolution in the modern era Which led to the rapid change in the forms of industrial products For many reasons, So put current research into question the view (What are the design requirements that define the formal change in the Iron clothes)? To reach the aim of In the design cornerstonesUnderlying the formal changethe Iron of the clothes, In the first section shed light on the development stages of systems design lists the historic stages of development and energy operator devices irons and mechanism of action and internal components, while in the second part, which was entitled (The role of technology and the factors influencing the change formality of Iron) touched on the three topics which technology modern industrial and receiver,

The introduction and importance of the research included that physical education and its various activities are important for the disabled. The exercise of physical activities by the disabled effectively contributes to raising their level of fitness and reducing diseases caused by lack of movement. Disabled people often suffer from psychological and social problems, and this feeling may be accompanied by a high level of anxiety, a lack of self-esteem and a loss of self-confidence. Psychological adaptation is one of the concepts of sports psychology interconnected with the psychological climate, as the process that the player seeks to meet his demands and needs. Adaptation includes the pursuit of emotional balance between the individual play

The research problem lies in determining the beauty ranges between the receiver and the industrial product, The goal of the research, it is the definition of aesthetics in industrial design and its relation to the receiver, and the researcher outcome several conclusions of the, the most important was: 1. The role of accumulated experience, and their interaction with the vision of the artwork in achieving aesthetic perception and levels of artistic and aesthetic values and by the level of growth this taste of the recipient. 2. There are interactive and close relationship be the primary means for the integration of functional and aesthetic meaning the designer meant to get it to the receiver.

        Corruption is a phenomenon that exists in all times and places, they appear in the developing countries and in developed countries, and in all political systems. And its repercussions and economic repercussions on the society in which it is rampant, and lead to the undermining of economic development and obstruction, is also working on increasing poverty and unemployment, as well as its role in the worsening of social problems, and political instability. And corruption is deviant behavior is illegal and contrary to the teachings of the religious and moral values. The emergence of this phenomenon is due to several reasons, including political, economic, social and cultura

Abstract: Lymphoproliferative Disorders (LPDs) are a group of neoplasms affecting various cells within lymphoid system. Each type has different treatment a..70619