The Caputo definition of fractional derivatives introduces solution to the difficulties appears in the numerical treatment of differential equations due its consistency in differentiating constant functions. In the same time the memory and hereditary behaviors of the time fractional order derivatives (TFODE) still common in all definitions of fractional derivatives. The use of properties of companion matrices appears in reformulating multilevel schemes as generalized two level schemes is employed with the Gerschgorin disc theorems to prove stability condition. Caputo fractional derivatives with finite difference representations is considered. Moreover the effect of using the inverse operator which transmit the memory and hereditary effects to other terms is examined. The theoretical results is applied to a numerical example. The calculated solution has a good agreement with the exact solution.
In this paper, our aim is to solve analytically a nonlinear social epidemic model as an initial value problem (IVP) of ordinary differential equations. The mathematical social epidemic model under study is applied to alcohol consumption model in Spain. The economic cost of alcohol consumption in Spain is affected by the amount of alcohol consumed. This paper refers to the study of alcohol consumption using some analytical methods. Adomian decomposition and variation iteration methods for solving alcohol consumption model have used. Finally, a compression between the analytic solutions of the two used methods and the previous actual values from 1997 to 2007 years is obtained using the absolute and
... Show MoreThe principal forms of radiation dosage for humans from spontaneous radiation material are being recognized as radon and its progenitors in the interior environment. Radiation-related health risks are caused by radon in water supply, which can be inhaled or ingested. Materials and Methods: The solid-state CR-39 nuclear trace detectors method was using in this research for measuring accumulation of radioactivity in water supply in different locations of Iraq's southwest corner of Baghdad. In Baghdad district, 42 samples were selected from 14 regions (3 samples out of each region) and put in dosimeters for 50 days. Results: The mean radon concentration was 49.75 Bq/m3, that is lower than the internationally recognized limit of 1100 Bq /m3. Th
... Show MoreEnergy use is second to staffing in building operating costs. Sustainable technology in the energy sector is based on utilizing renewable sources of energy such as solar, wind, glazing systems, insulation. Other areas of focus include heating, ventilation and air conditioning; novel materials and construction methods; improved sensors and monitoring systems; and advanced simulation tools that can help building designers make more energy efficient choices. The objective of this research is studying the effect of insulations on energy consumption of buildings in Iraq and identifying the amount of energy savings from application th
... Show MorePraise be to Allah, Lord of the Worlds, and prayers and peace be upon the prophet as a mercy to the worlds and on his family and companions. The phenomenon of suicide is one of the most expanding social phenomena in the world, where many groups of society of different ages try to put an end to their lives, especially young men and girls. The numbers always remain on the rise, and there is no doubt that the one who does this matter, that he has reasons that made him resort to suicide, and despite that, whatever those reasons. However, this is not a justification for the assault on the soul that God has forbidden to infringe on or lead them to perdition, or to what harms them. Modern psychology has tried to explain this phenomenon and try to
... Show MoreGeneral propositions have dealt with various indicators and features that frame and describe basic architectural concepts, and from those concepts, the concept of identity will be presented here, which represents the nerve of intellectual vision of the state of architecture development, transformation and change. Due to its deep intellectual basis, it was necessary to study multiple features, especially the achievement feature that was considered a major stage describing the nature of change and shift related to the achievement of concept and its role in the development of the architectural field . &nb
... Show MoreInspite of the renovation and development that occurred on the
mathematics curricula and its teaching styles (methods), the teaching methods and the evaluation styles that the teachers of the country
follow are still traditionaL It depends on the normal distribution approach and the principle of individual differences among students in
addition the traditional tests that are used to evaluate student achievement are built on standard-referenced system. These types of tests focus on comparing the student's performance with his peers'
performance. The limitary of this type of evaluation in diagnosing the
students' acquisition of the stu
... Show MoreVerbal Antonyms: A research in the relationship in meaning Between the words in Arabic language
This study aims at identifying the extent of SMS usage and understanding the role it plays in satisfying users' needs and motivations. In order to achieve this aim, an analytical descriptive method was adopted by conducting a field survey among students at Petra University.
The study resulted in many conclusions, the most important of which is that using SMS meets the students' cognitive, social and communicational needs and desires, the highest being communicating with friends at 75%, followed by exchanging songs and videos at 52%, as well as exchanging photos at 45%. In regards to their motivation for using text messaging, forgetting daily problems scored highest at 81.4% and spending free time followed at 77.4%. This proves th
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