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 minimizing the degree of error between approximate and exact solutions. The Wang-Ball series has shown its usefulness in solving any real-life scenario model as first- or second-order differential equations (DEs).
The research seeks to find the relationship between psychological flow and futuristic thinking among postgraduate students. To this end, the researchers have made up two scales: one scale to measure the psychological flow which consisted of (32) items and the other to measure the futuristic thinking included (39) items which were distributed into three domains. As to collect the required data, the two scales had applied on a sample comprised (200) postgraduate students. The findings revealed that there is a correlation between psychological flow and futuristic thinking. The researcher recommended the coming studies take the relationship between psychological flow and psychological happiness.
The history of the arts is closely connected with the history of humankind, since it is impossible to separate our scientific and artistic advances’. Therefore, the current research focuses on the close bond between art and other disciplines. The connection of the arts to the sciences is unequivocal and undisputed; the contributions of artists to the various scientific domains are clear. If one scrutinises the ability of artists to participate in building societies, one will find that the arts have penetrated deeply into a range of products and inventions, starting with the pencil and ending with the missile. The artist’s contributions play a part in the minutest of details across all fields of industry: production, craftsmanship, me
... Show MoreThe population studies are one of the difficult tasks facing the world in all periods. most of the researchers and who have relationship to population policies and development plans, may have succumbed to the idea that the population problem is based and confined mainly in the rate of increase in population, or the so – called population explosion, and not the content because of its pressure on resources and there is no problem of population if the resources are available and therefore no need for the development and implementation of population policies in any way . While the population policies here should take a range of general and comprehensive in every respect to population and demographic phenomena distribution, not only
... Show MoreThe research aims to identify the correlation between self-reliance and human relationship of kindergartens’ teachers. Total of (120) kindergarten teachers at Baghdad city. To collect needed data, two scales were administered to the research sample consisted of (25) items of each scale with (five) alternatives. The results revealed that teachers have good level of self-reliance and human relationship. There is a positive correlation between self-reliance and human relationship.
The main objective of the research is to identify the role of strategic training and its effect on enhancing the self-growth of the individual. Stratigic training represents a contemporary tendency. that is adopted by business organizations in carrying out their activities and tasks.
It is worth to mention, that self-growth of the individual is one of the indictors used to determine the ability of organization to a achieve its goals.
The problem of the research has pointed out to the minimum awareness of the important role played by training strategy in enhancing the self-growth of the individual. The researcher has adopted an analytical approach, in collecting and analyses
... Show MoreThis study aimed to identify the degree of frustration and guilt among addicts who hurt themselves with drug, and to know the addicts perspective who are in treatment clinics and rehabilitation centers in Palestine, in order to achieve this goal aDeterminationThe study population has been identified , this study population consisted of ' (82) addict, the researcher used the descriptive analytical method which is appropriate for this study, so the researcher questioned the addicts who are in treatment clinics and rehabilitation centers in Palestine and analyze their responses in light of some of the variables.
The study results showed that drug addicts who ar
... Show MoreThe research aims at showing the media awareness for Students, especially for the students of the preparatory schools through their following the mass media in forming the cultural, educational and political database. It also aims at building a content and prospectives that make them a wide awake stratum that safeguard the society which has faced huge effects of terrorist actions.
Furthermore, it aims at knowing to what extent that students have been acquainted with the printed and electronic newspapers. Finally, it aims at knowing to what extent that they are content with the mass media in covering and
... Show MoreThe study aimed to examine the sensitivity to stress and its relation to positive mood among educational supervisors. The researcher used the descriptive approach as more an appropriate method for the current study. The sample is composed of (200) educational supervisor. To collect study data, two scales have been used: one scale to measure the sensitivity to stress and the other to measure the positive mood. The results indicated that a high level of sensitivity to stress with low level of positive mood among educational supervisors, sensitivity to stress showed significant differences among the sample regarding to major. There is no correlation between sensitivity to stress and positive mood, and finally, there are no significant diffe
... Show MoreAny person, regardless of his location in the air, whether he was kidnapped or trained, and then he performs a certain work, believes that his work is in vain, and by God, his deeds. I wonder if those who hold him in the first place will be safe in good form. He said that the essence of justice in the story is the story:
These are given the meaning we have fought in the fact that each group of. He went beyond creating a group of blocs, sects, and parties. If justice indicated one meaning, these relationships between people and peace would diminish. In fact, justice has only one concept, but there are several associations with it in the field of divorced one of these synonyms. However, the variation in racist drums in the encounte
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