This paper is concerned with finding solutions to free-boundary inverse coefficient problems. Mathematically, we handle a one-dimensional non-homogeneous heat equation subject to initial and boundary conditions as well as non-localized integral observations of zeroth and first-order heat momentum. The direct problem is solved for the temperature distribution and the non-localized integral measurements using the Crank–Nicolson finite difference method. The inverse problem is solved by simultaneously finding the temperature distribution, the time-dependent free-boundary function indicating the location of the moving interface, and the time-wise thermal diffusivity or advection velocities. We reformulate the inverse problem as a non-linear optimization problem and use the lsqnonlin non-linear least-square solver from the MATLAB optimization toolbox. Through examples and discussions, we determine the optimal values of the regulation parameters to ensure accurate, convergent, and stable reconstructions. The direct problem is well-posed, and the Crank–Nicolson method provides accurate solutions with relative errors below 0.006% when the discretization elements are M=N=80. The accuracy of the forward solutions helps to obtain sensible solutions for the inverse problem. Although the inverse problem is ill-posed, we determine the optimal regularization parameter values to obtain satisfactory solutions. We also investigate the existence of inverse solutions to the considered problems and verify their uniqueness based on established definitions and theorems.
Praise 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 MoreT.V photo in modern shows has emerged with special characteristics and signs that have developed in cope with the development of medium and technique. This leads to adding a variety of aesthetic dimensions which are capable of attracting audience because of its communicative elements that have an important role in increasing of T.V show Watching. As a result, the research is limited to methodological Framework as the problem. The problem of the research deals with emerging the aesthetic dimensions of T.V photo. The major question is (what are the aesthetic and communicative dimension of T.V Photo?). The research aims at finding out the aesthetic dimensions of T.V photo in modern artworks. The significance of the research on the presented
... Show MoreIn the name of Allah, the Beneficent, the Merciful.
Praise be to Allah, Lord of the Worlds and peace and blessings on the honest and trustworthy (Muhammad) and his family and his divine good companions.
The Islamic clothing is one of the requirements of the common and original innateness to humans; the innateness that is created by God to all people, Allah says, (So set thou thy face steadily and truly to the Faith: [establish] Allah's handiwork according to the pattern on which He has made mankind: no change [let there be] in the work [wrought] by Allah: that is the standard Religion: but most among mankind understand not) (1). Islam as a natural religion has ordered the Muslims to wear decently, Allah says, ( O Children of Adam!
المقال منشور على موقع مجلة الفورين بوليسي الأميركية (Foreign Policy) على الانترنت في 27 أيلول/سبتمبر 2019. يُشير مصطلح العزل (Impeachment) في الثقافة السياسية الأميركية إلى مجموعة الإجراءات التي يتم بموجبها عزل الرئيس من منصبه، وهذه الإجراءات هي بمثابة عملية طويلة تجري داخل الكونجرس، وتتم وفقاً لخطوات يؤدي فيها كل من مجلسيّ النواب والشيوخ دوراَ. ولا يعني القيام بهذه الإجراءات أن يتم عزل الرئيس، فقد تتم إ
... Show MoreThe problems of urban historic centers are considered some of the subjects which are widely dealt with in urban studies since the middle of the 20th century. literature of urban development have raised it , beside the fact that large number of urban development projects of the historical centers in many cities of the world ,and emerged from the application of these new problems projects added their original urban problems , because these projects have dealt with the physical structures with the neglect of the social and economic sides, which are the base in sustainable development nResearch problem was elaborated as : The unclearly of knowledge of the potentials of the sustainable development in solving the urban problems of historic cen
... Show MoreThat researchers in the play Science Find a theatrical form of an experimental creative, and these experiences taken from the innovation space aesthetic dialogue with the receiver, especially since with previous theatrical experience and is an extension of her, because the interactive theater theatrical terms that assume a pattern do from the depth of the relationship between supply playwright and the audience, which alters the receiving skills actually change, and to monitor these differing divided into three classes that include research, methodological framework (Chapter I) and includes, research problem, the importance of research and the need to him, the goal of the research, the limits Find it border, and the theoretical framework
... Show MoreGaining economic policy of exceptional importance in severe unilateral Iraqi economy such as the economy, as oil revenues constitute the center of gravity in the internal and external balances, Economic policy have seen in Iraq beyond 2003 in absentia economic strategic vision and failure in the application of policies to achieve economic development, as there was a disconnect and lack of integration and coordination between macro policies of monetary policy and fiscal policy, especially as if they were floating two policies are not linked by a link
Introduction: Biliary atresia (BA) is a disease characterized by a biliary obstruction of unknown origin. Viral agents have been proposed in the aetiology of BA such as cytomegalovirus (CMV). This virus also considered as a one of agents that can infect the liver and cause hepatitis. The aim of this study was to determine the role of CMV in children with both chronic hepatitis (negative for hepatitis B and C) and have biliary atresia in the same time.Material and Methods: A retrospective study done on 13 liver tissue paraffin blocks of children with chronic hepatitis (negative for hepatitis B and C) and biliary atresia (extra and intra). The diagnosis was based on the presence of HCMV protein (pp65) by using immunohistochemistry.Res
... Show MoreThe liver is the primary organ for drug metabolism, elimination, Cyclophosphamid is the classical alkylating agent nitrogen mustard, its metabolism into two cytotoxic metabolites, and increase reactive oxygen species that is make liver toxicity. Safranal as the most abundant chemical in saffron essential oil, it have anti-oxidant, anti-inflammatory, antiapoptic and free radical scavenger activity. The aim of study is to assess the protective effects of safranal on the cyclophosphamide-induce liver toxicity in rat model. This occur by using five different groups of rats; control group, treatment group, cyclophosamide group (intraperitoneal i.p), cyclophosamide and (50mg and 100mg) oral safranal treatment groups. This study showed this pro
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