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.
Domestic violence, or as sometimes known as family abuse, is usually related to a domestic or local setting as in cohabitation or in marriage. It can take the forms of being physical, verbal, economic or emotional. Globally, most of the domestic violence is overwhelmingly directed to females as they tend to experience and receive severe forms of violence, most likely because they do not involve their intimate, or sometimes even non-intimate partners, in the process of mental and physical self-defense. Sometimes countries justify domestic violence directed to females, they may be legally permitted when the reasons behind it are related to issues of women's infidelity. Usually, the permission to violent acts is related to
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Child's personality development in Islam, in fact, represents the building of the Islamic community and a step on the way for the establishment of life, state, law, and civilization in accordance with the blessed Islamic principles, in order to achieve the happiness of the human being and to protect the components of society and preserve human safety. Child is the issue of interest across many years. Paying heed to childhood issues is not a recent one. The faith of these communities in the child's rights and his education, which makes a man who cherishes himself and his language and homeland.
The success of Islamic goals, the happiness of the individual and the
... Show MoreResearch is a study conducted by a researcher or a group of researchers to uncover ambiguity, complete a knowledge, or define a relationship, Solve a problem, or answer a question by carefully investigating the comprehensive and in-depth examination of the evidence and evidence related to this knowledge, revealing a relationship, or solving a problem, or answering a question, to be a systematic, In evidence and evidence that reveal facts and general rules, relationships or solutions, in addition to providing knowledge Human rights are verifiable, tested and confirmed. The university research (graduate research, master's thesis, doctoral dissertation) is the most important type of research, and it is supposed to be the best one, since it
... Show MoreSome have considered the dialectic in form and meaning from different points of view, and dismantled them from each other, and this view is correct if we adopt according to the logic of Aristotle when it comes to dialectic, the dialectic of form and meaning has different aspects and does not share a single line in terms of conceptual meaning, the form is the appearance What the recipient sees with the help of cognitive tools, the content or content is the mental meaning, which in turn depends on his own tools, and to this extent this view is correct, and the intellectual content or meaning of the artwork or the human message that the artist wants to convey to the viewer.
The research included four chapters. The first chapter included
Several schottky diodes were fabricated from polyaniline/ Carbon nanotube (single and multiwalled) composites. These composites were synthesized with different concentration and two carbon nanotubes types, Single and Multi-Walled Carbon Nanotubes (SWCNT & MWCNT). Aluminum and silver paste were chosen as schottky and ohmic contact respectively. physical and electrical were used to studied these composite by using Atomic Force Microscopy (AFM) and electrical measurements. The Root Mean Square RMS surface roughness of the composite samples was found to be around 4nm. The currentvoltage characteristic were measurements for all samples in the bias range ±15V at room temperature. The results shows the increasing in carbon nanotubes concentration
... Show MoreThe purpose of this research its study of Natural Consideration that contributed in turning of Dairy products in Baghdad Governorate , this subject deal with centered geographical location in the midlle of Iraq ,it’s also main market in discharge and marketing to rest of Iraqi’s governorate pointed to it’s an active role in localized of it’s factory(milk ,cheese,cream ,butter, yoghurte)and it’s constant ,thus distributedin all district of Baghdad ,flat governorate surface encourage this industry ,also climate (temperature, wind, (it’s speed and it’s direction) ,rainfull and relative wet) also water resources and it’s influenced that nessacity of production process with important inculclusion that researcher came out throu
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The idea of this research is the basis of the role exercised by the dimensions of performance management (Performance Planning- performance evaluation- improve the performance and development- feedback - Review and Performance Monitor) In order to achieve the success Organizational Is through the (strategic vision- the operational activity- development of the company- selection of personnel- the company's culture- Leadership and Management- Personal Development - Assessment and Review).And The research aims to identify the extent of the responsibility of performance management in achieving success Organizational through main hypotheses branched out by the sub-hypotheses to knowing out the&nbs
... Show MoreThe aim of the current research is to identify the personal distance between members of society, as well as, to identify the feelings of satisfaction and positivity from respecting the permissible personal distance. The study also aims to identify the feelings of annoyance and comfort from approaching and going beyond personal distance and not respecting it. To achieve these goals, the researchers reviewed previous literature, theories, and studies that dealt with personal distance. The researchers reached a number of results; first, personal distance is not a law but rather a cultural guiding principle for social and professional morals. Second, there are four distances (intimate distance, the distance between friends, social distance,
... Show MoreThe research aims to identify the role of community participation in achieving organizational distinction in the Dhulia's municipality, which is one of the formations of the Ministry of Construction, Housing, Municipalities and Public Works in Salah al-Din Governorate, which is one of the service organizations that have a fundamental role in providing service to the community, which has faced many administrative challenges and many problems caused by the rapid and continuous changes in the environment, therefore modern management concepts must be adopted, such as community participation and the knowledge of its role To achieve its goals, which helps it in facing changes as well as achieving organizational excelle
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