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.
Administrative leaders conserned to understand the challenges which are faced their organizations and try to assimilate and adapt with the extent that achieves to it efficiency and effective- ess, and standing face to face to faceing any challenge.that threaten it’s existence thro- ugh using modern inputs reached to that level of these challenges and applied the study on a sample deliberate random from teaching hospitals of the Directorate General for Health Baghdad Karkh, and the Directorate General for Health Baghdad Rusafa and the City of Medicine , The importance of t
... Show MoreBackground: Insulin resistance is present in 50% or more of patients with primary hypothyroidism. Metformin can decrease TSH levels in these patients by a complex matter, this can be of great help in clinical practice.
Objective: This study was designed to evaluate the effect of metformin in reducing TSH levels in patients with primary hypothyroidism.
Methods: Hundred patients with primary hypothyroidism, 82 females, 18 males were included in this study, everyone was followed up for two months after adding metformin 850 mg twice daily in addition to thyroxin.
Results: 36 patients (36%) have a normal baseline TSH and no change after 2 months, 64 pa
... Show Moreالنظام السياسي اليمني : دراسة في المتغيرات الداخلية
Death is undoubtedly the theme of Don DeLillo’s White Noise. Murray Siskind, a College-on-the-Hill professor who is obsessed with the exploration and reinterpretation of American popular culture, talks about the Tibetan Book of the Dead, and the German mentor of Jack Gladney has been using the Egyptian Book of the Dead, translated into German. The core episode of the story is the Airborne Toxic Event, the associate of Heinrich (Jack’s teenage son), Orestes Mercator, dreams of becoming one of the great figures in the Guinness Book by challenging and confronting death by enclosing himself in a glass pen jam-packed with poisonous snakes, and Heinrich challenges an imprisoned mass murderer in a chess game. The scholarly expertise of Jack c
... Show MoreIn the present work theoretical relations are derived for the efficiency evaluation for the generation of the third and the fourth harmonics u$ing crystal cascading configuration. These relations can be applied to a wide class of nonlinear optical materials. Calculations are made for beta barium borate (BBO) crystal with ruby laser /.=694.3 nm . The case study involves producing the third harmonics at X. =231.4 nm of the fundamental beam. The formula of efficiency involves many parameters, which can be changed to enhance the efficiency. The results showed that the behavior of the efficiency is not linear with the crystal length. It is found that the efficiency increases when the input power increases. 'I'he walk-off length is calculated for
... Show More• Commercial papers are one of the most important tools of the contemporary monetary market, and many of those who deal with them are ignorant of the Shariah rulings related to them, hence the urgent need to know the most prominent Sharia rulings related to commercial papers, including the discount. It is an agreement between the bank and its customer requesting the discount (the holder of the commercial paper) under which the bank is required By accelerating the value of the paper to the customer, in exchange for the latter’s obligation to transfer the ownership of the fixed right in the paper to the bank by endorsing it to him as a transfer of ownership.
• The noble Islamic Sharia does not prohibit dealing in commercial papers
Summary
The conflict between Arab and Zionist movement before 1948 was not normal dispute about certain issue or quarrel on borders, it is comprehensive conflict, this research intraduce analytical and outlook future reading about Palestine identity in time of occupation and resistance in the first studying we take the concept of identity and the fundamental relationship identity history and geography. Our research treated the contents of palest Iain and Isralian identsunder. The political, cultural and military conflict between Israil and Palestine. The research introduce analytic study of research introduce analytic study of intellectual orientation of Zionist state in order to determine the exact meaning of this identity, beca
... Show MoreThe Egyptian labor movement is the oldest trade union movement in the Arab region. Beside, the labor movement in any society is, in fact, only a reflection of the extent of awareness of that class in that society. Such a comparison is based on the degree of social growth the working class has reached. Moreover, the Egyptian working class was characterized by modernity in its inception compared to other social forces and classes. In addition, its development is linked to the level of industrial development of the country. The peasants and craftsmen were the mainstay of production in the Egyptian society over several centuries. The labor union movement also represents the human aspect of the labor force when it encounters and interacts wit
... Show MoreThe aim of this research is to develop mechanical properties of a new aluminium-lithium-copper alloy. This alloy prepared under control atmosphere by casting in a permanent metal mould. The microstructure was examined and mechanical properties were tested before and after heat treatment to study the influence of heat treatment on its mechanical properties including; modulus of elasticity, tensile strength, impact, and fatigue. The results showed that the modulus of elasticity of the prepared alloy is higher than standard alloy about 2%. While the alloy that heat treated for 6 h and cooled in water, then showed a higher ultimate tensile stress comparing with as-cast alloy. The homogenous heat treatment gives best fatigue
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