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.
ABSTRACT: BACKGROUND: Arthroscopic knee surgeries are performed in very large numbers worldwide, and in spite of relatively low complication rate, but the total number is significant. Some of these complications are due to tourniquet use and can be serious. OBJECTIVE: Is to asses if automated pump (with or without) dilute epinephrine saline irrigation can replace the tourniquet use in soft tissue arthroscopic knee surgeries. PATIENTS AND METHODS: 36 patients (9 females 25 % and 27 males 75 %) were included in this prospective experimental nonrandomized study, and were necessitated soft tissue arthroscopic knee surgeries. Patients were divided into two groups, in group A (patients) tourniquet and automated pump were used. In group B (18 pati
... Show MoreTHE ACTUAL SOCIETY MODEL
Our society model has been showing signs of exhaustion since the end of the XX century. The recent appearance of the Covid-19 virus is another consequence of humanity's distance from Nature and the environment it inhabits. Also, climate change, environmental deterioration, loss of biodiversity, overexploitation of natural resources, and social inequality are some of the consequences derived from this separation between society and Nature. We must change our operating habits. Inevitably from a society based on the market, hyper consumption, fossil energy and individual enrichment at all costs, we will have to change to another
... Show MoreRadio observations from astronomical sources like supernovae became one the most important sources of information about the physical properties of those objects. However, such radio observations are affected by various types of noise such as those from sky, background, receiver, and the system itself. Therefore, it is essential to eliminate or reduce these undesired noise from the signals in order to ensure accurate measurements and analysis of radio observations. One of the most commonly used methods for reducing the noise is to use a noise calibrator. In this study, the 3-m Baghdad University Radio Telescope (BURT) has been used to observe crab nebula with and without using a calibration unit in order to investigate its impact on the sign
... Show MoreThe process of selection assure the objective of receiving for chosen ones to high levels more than other ways , and the problem of this research came by these inquires (what is the variables of limits we must considered when first preliminaries selections for mini basket ? and what is the proper test that suits this category ? and is there any standards references it can be depend on it ?) also the aims of this research that knowing the limits variables to basketball mini and their tests as a indicators for preliminaries for mini basketball category in ages (9-12) years and specifies standards (modified standards degrees in following method) to tests results to some limits variables for research sample. Also the researchers depends on (16)
... Show MoreIn life in general and in the press, especially the success of a particular message depends heavily shipments carried by, and images idyllic suggestive, how many meanings that reaching an audience, and is the magazines and one of those media that target a broad audience, trying to please Him and the acquisition of his attention through a form of aesthetic granted pleasure and satisfaction from this point of view, read image ad as Date pure incident of everyday life, and here was placed this research about the aesthetic image advertising in the covers of women's magazines, which has been briefing them through the Four Seasons included in the search, was the first chapter Batarh systematic talked about problem Find the placing on the form
... Show MoreThe basic idea of the Main Outfall Drain, MOD, was to construct a main channel to collect saline drained water of the irrigation projects within central and southern parts of Iraq and discharge it down to the Arabian Gulf. The MOD has a navigation lock structures near Addalmage Lake at station 299.4km. This structure is designed to ensure navigation within the MOD. The water level difference upstream the cross regulator and the downstream conjugation structure is about 9m. This head difference can be used to generate electrical power by constricting a low head power plant. This study aimed to utilize the head difference in navigation lock structures for power generation. Different operation condition an
... Show MoreThe digital camera which contain light unit inside it is useful with low illumination but not for high. For different intensity; the quality of the image will not stay good but it will have dark or low intensity so we can not change the contrast and the intensity in order to increase the losses information in the bright and the dark regions. . In this search we study the regular illumination on the images using the tungsten light by changing the intensities. The result appears that the tungsten light gives nearly far intensity for the three color bands(RGB) and the illuminated band(L).the result depend on the statistical properties which represented by the voltage ,power and intensities and the effect of this parameter on the digital
... Show Morentroduction. Finding a safe innate immune response stimulator is one of the greatest challenges facing immunologists and vaccine manufacturers. Gap statement. The role of sterile bacterial secretions (SBSs) of Pseudomonas aeruginosa in stimulating the innate immune response was not investigated previously. Aim. The comparative effect of SBSs and bacterial cells of P. aeruginosa isolates isolated from freshwater (PAE) and infected wounds (PAC) on the respiratory tract innate immune response. Methodology. Four test mice groups were instilled intranasally (i.n.) with 106 c.f.u of PAC, 106 c.f.u of PAE, SBS of PAC, and SBS of PAE. Two control groups were given i.n. either LB broth or PBS. Time-course changes in IL-1 beta mRNA, TNF-alpha mRNA, I
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