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.
In the name of God, praise be to God, and prayers and peace be upon the best of God’s creation, Muhammad bin Abdullah, and upon his family and companions, and from his family:
And after:
He saw from verbs that transcend one effect if it is visual and to two effects if it is heart and this action has several strokes and it is an awareness of the sense and illusion and imagination and reason and in addition to that it has many meanings dealt with in the glossary books and as for what the verb included in the audio studies it is the explanation and deletion and slurring The heart of my place. As for what the grammatical studies included, it focuses on one or two effects according to its l
The shift that caused the fading art schools and the brightness of the other, which dictate the work of art based surface and defect lasting regeneration led the researcher to stop at the color of his study, as an element of fixed and mobile at the same time, hard as a lieutenant of the painting plastic and brick construction that supports a painting, The variable that follows the doctrine of the artist and the philosophy of the community, because of the extrapolation of his biography, especially in modern art and beyond is clear that compose a variety of ways and so as to ensure continuity vital to the process of drawing, color in all modes is responsible for editing shapes on the surface imaging is, without a line, shape and dimensions
... Show MoreThe overlap between science and knowledge is a feature of the 21st century. This integration, which crosses the traditional boundaries between academic disciplines, has occurred because of the emergence of new needs and new professions. This overlap has overshadowed the arts in general and design in particular. The Design achievements have not been far away from the attempts of integration of more than one type or design application to produce new outputs unique in its functional and aesthetic character, including the terms of internal graphic design.
The researcher raises the question of the functional dimension of graphic design in the internal space, in order to answer it through the methodological framework, which includes th
... Show MoreThis paper proposed a theoretical treatment to study underwater wireless optical communications (UWOC) system with different modulation schemes by multiple input-multiple output (MIMO) technology in coastal water. MIMO technology provides high-speed data rates with longer distance link. This technique employed to assess the system by BER, Q. factor and data rate under coastal water types. The reliability of the system is examined by the techniques of 1Tx/1Rx, 2Tx/2Rx, 3Tx/3Rx and 4Tx/4Rx. The results shows the proposed technique by MIMO can get the better performance compared with the other techniques in terms of BER. Theoretical results were obtained to compare between PIN and APD
The Glass Manegerie is a metaphor, which is one of the greatest plays of great writer Williams. The play talks about the poor people in society and how try to escape this group of people from the real world to get rid of the hardness of this tuff reality and live in a fantasy world that is much like the glass where the world is very weak this world is acting by Laura, she is owner of these animals breakable glass where it's weak and unable to defend itself as well as the mother Amanda is a very selfish never think about her children but only herself.
Many people, especially among the youth or scholars, wonder about the position of Islam or the scholars of faith on the terminology used by scholars of theology in a certain period of time, and then circulated by people throughout the times and to the present day, such as the terms (the old, the maker, the updated, the cause and the cause) and so on, and this What I felt myself while teaching this subject from some of the students, some of whom consider it blasphemy, and some of them consider it an innovation of speech, and so there were many questions about this subject, which led me to write and research it, after relying on God Almighty, although the research is not long due to the nature of This topic on the one hand, and because I d
... Show MoreCorruption is one of the barriers to economic growth and investment opportunities, and after the most serious security and stability, that corruption plagued the Iraqi economy is striking and has roots since the eighties of the last century to the present day.
The study aimed to identify practical impact of corruption on investment in the Iraqi economy and revealed the possibilities and obstacles to investment in Iraq and clarify the investment opportunities at the level of Iraq and the impact of corruption on investments.
The focus will be on the statement of the extent of corruption and investment in Iraq and the adoption of the style of economic measurement using cross-section
... Show MoreThe development in the presentation and presentation of the service in order to distinguish them from the same, was one of the most important reasons to choose the current issue to upgrade the level of service, especially in the Iraqi restaurant sector, which has become today of the important sectors successful. The problem of research was to try to answer a range of questions: to what extent are Iraqi restaurants interested in physical service factors? Do Iraqi restaurants apply physical factors in a way that leads to customer satisfaction? Are Iraqi restaurants interested in the satisfaction of their customers? The objective of the current research is to try to determine the extent to which the
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Abstract
This current research aims to make theoretical frame for the thoughts and principle knowledge for high performance work system ،also trying to know the role that high performance work system practices which is (Effective staffing، comprehensive training، providing work career، and employee participation) play to enhance the organization effectiveness ، although knowing the principles of high performance work system which is: (Shared Information، Knowledge Development Performance and Reward linkage Egalitarianism)and its effect on the organizations. As well as defining the special concept of High performance wo
... Show MoreThe solar eclipse occurs at short time before the crescent birth moment when the moon near any one of moon orbit nodes It is important to determine the synchronic month which is used to find Higree date. The 'rules' of eclipses are:
Y= ± 0.997 of Earth radius , the solar eclipse is central and 0.997 < |Y| < 1.026 the umbra cone touch the surface of the Earth, where Y is the least distance from the axis of the moon's shadow to the center of the Earth in units of the equatorial radius of the Earth.
A new model have been designed, depend on the horizontal coordinates of the sun, moon, the distances Earth-Moon (rm), Earth-sun (rs) and |Y| to determine the date and times of total solar eclipse and the geogra
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