In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods is produced. Finally, for more explanation, an algorithm is proposed and applied for testing examples to illustrate the effectiveness of the new technique.
The name of God the Merciful
Praise be to Allah, Lord of the Worlds, and prayers and peace be upon the prophets and messengers Prophet Muhammad and his family
And his companions who followed his approach to the Day of Judgment. After that, Islam has paid great attention to the aspects of education
The promise of a way to degrade and correct behavior, and to reach the individual to the highest levels through his intellectual upbringing
Mentally, mentally, mentally and intellectually, education at all times and places is the best way to communicate to a human being
The degree of happiness in religion and the other, as it develops all aspects of his personality, and supports the love of goodness for himself
For people, edu
The Iraqi- Kuwaiti relations had witnessed a lot of problems which had its impact on them, at the fore front is the frontier issue, and the Iraqi invasion of Kuwait in 1990 which led to the severance of relations between them and had strengthened the disagreement and the dispute and raised the animosity and tension.
After 2003, Iraq has witnessed a lot of changes which affected Iraq and the region as a whole.
Under the new political developments in Iraq, a now phase has started in the relations between the two parts. which is based on the emphasis on building new relations based on the mutual respect and non intervention in the internal affairs of both countries, and in accordance with the principles of the international law, and w
النظام السياسي في كوريا الشمالة
Students at secondary school, particularly at the beginning of their academic lives face many difficulties and problems in various psychological, educational, and social fields, which require them to make many decisions and solve problems that may confront them while maintaining their optimism and positivity for life in general and for academic life in particular. Thus, the current study aims to investigate the academic optimism of distinguished students and identify the differences in academic optimism in terms of gender. The researcher applied the scale to a sample of (336) students, (145) males, and (191) females, who were chosen randomly from distinguished schools. In order to achieve the research objectives, the researcher adopted t
... Show MoreAesthetic performance in the mobile sculptures
Ali Abd Almohsen Ali
Abstract
Chapters of this research are discussed one of the turning points in the In the history of sculpture, which sparked a debate in artistic circles, namely the introduction of the actual movement in sculpture . The researcher highlighted on one of the corners of the controversy on this subject for discussion and looking in and Found results contribute to answer some questions . the Beginning been allocated to the statement of this Research Methodology , research problem, and its importance, and its goal, and borders , the main problem is Lack of clarity of the concept of real motion (physical) in the sculpture , And how the audience understand the aspects
The she/teacher is considered one of the basics of the educational process for its essential role in education and teaching the kindergarten child, thus its lack to construct social relations in side the kindergarten environment working in it regarded one of the shortcoming factors she is suffering from which should be manipulated, because it could effect its enthusiasm to work in the kindergarten according to what has mentioned, the researcher presents the following objective:-
- Identifying level of social enhancement for the kindergarten teachers via the test of the following hypothesis:-
It must be emphasized that media is amongst human studies fusing older and more recent sciences together, and that its disclosures are the physics of the new communication. Michio Kaku, a theoretical physicist, in his book “ Visions”, confirms this fact when he says :” As a research physicist, I believe that physicists have been particularly successful at predicting the broad outlines of the future .Professionally, I work in one of the most fundamental areas of physics, the quest to complete Einstein's dream of a "theory of everything." As a result, I am constantly reminded of the ways in which quantum physics touches many of the key discoveries that shaped the twentieth century. “ He then got to the fact that the physical disclo
... Show MoreVirtual reality technology is the science of the embodiment of things and move spontaneously among non-real from one place to another with the full sense of the form, touch, sound, enables the user tried out and deal with it, like a real natural world and open up new worlds for human ambitious to let him overlooks the supposed world. Internet has become part of our daily lives, especially with the presence of mobile devices; that revolutionized the world of social networking. Access to information and build relationships change in the era of digital technology. The woman is not in isolation from this era; she found to herself a wide area for the production of ideas.
When we talk about woman in the modern means of communication, this a