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.
The current research aims to: 1- Identify the emotional sensitivity of children from the parents' point of view. 2- Identifying the differences in the emotional sensitivity of children from the parents ’point of view, according to the parents’ gender variable (father - mother). The basic research sample consisted of (285) male and female students from the sixth grade (primary school), chosen in a randomized stratified method from the districts (Al-Karkh and AlRasafa). While the sample of statistical analysis amounted to (200) father and (200) mothers of male and female students who were randomly selected from the sixth grade of the education directorates (Al-Karkh and Al-Rasafa). The two researchers also used a number of sta
... Show MoreThe performance of the pavement in terms of vehicle safety and tire wear is affected by the friction behavior of the pavement. To highlight the main characteristics that affect the production of better friction resistance of the pavement surface in this work. The micro-texture and macro-texture of the asphalt surface of Baghdad Airport highway were studied using two methods: (sand patch method and the British pendulum test). The sand patch was examined by drawing sand grains of a specific volume, while the micro-texture was analyzed using a BPT under dry and wet surface conditions. All data obtained from the two examinations were analyzed and modelled statistically using SPSS 25 software. Results show that skid resistance of pavemen
... Show MoreA tungsten inert gas (TIG) welding is one of the most popular kinds of welding used to join metals mainly for aluminum alloys. However, many challenges may be met with this kind of joining process; these challenges arise from decay of mechanical properties of welded materials. In the present study, an attempt was made to enhancing the mechanical properties of TIG weld joint of 6061-T6 aluminum alloy by hardening the surfaces using shoot peening technique. To optimize the shoot peening process three times of exposure (5, 10, and 15) min. was used. All peened and unpeened, and welded and unwelded samples were characterized by metallographic test to indicate the phase transformation and modification in microstructure occurring d
... Show MoreA total of 41 patients with gastro duodenal symptoms (show signs of inflammation with or without duodenal ulcer) . 21 males (51.2%) and 20 female (48.8%) with an average age 0f (20 – 80) years old under going gastrointestinal endoscopy at Baghdad teaching hospital in internal disease clinical laboratory , between (February – June) 2009 . Biopsies specimen of antrum , gastric fundus ,& duodenal bulb were examined by the following methods (rapid urease test , Giemsa stain section to detect bacteria , & Haematoxilin and Eosin stained section for pathological study which are considered the gold standard methods , sera or plasma from these patients were tested by immunochromotography (ICM),serological m
... Show MoreBackground: Blood vessels injury is one of the most
common causes of medical emergencies that admitted to
hospitals and at the same time it regarded as one of the
most important causes of death. They may represent less
than 15% of all injuries; they deserve special attention
because of their severe complications.
Objective: The aim of the present study is to assess
anatomically the injures of major arteries and veins in the
lower limb with their management.
Methods: The present study extended from April 2006 to
February 2007, in which 65 patients with lower limb
vascular injury were examined in Emergency Department
and Forensic Medicine Department of Tikrit Teaching
Hospital in Salah-Aldin governora
Inclination Of The Lumbosacral Angle In Normal Individuals: An Mri Study,GJRA - Global Journal For Research Analysis(GJRA) GJRA is a double reviewed monthly print journal that accepts research works. 36572+ Manuscript submission, 9855+ Research Paper Published, 100+ Articles from over 100 Countries
The Research Aims To Clarify The Role Of Knowledge Innovation On The Administrative Process Represented by Managing Strategic Momentum, The Research Problem Focuses on Administrative leader Interest In And Implementation Of The Innovation Element Of Knowledge In The Organization By " Managing Strategic Momentum" As Well As The Focus By Management About The Innovators And Makers Of Knowledge And Strategic Planners In The Design And Formulation Of Strategic. Research does Contribute In Solving Part Of The Organizational Problems Of Vision, Innovation And Their Impact On The Momentum Management To Determine The Extent On Which The Procedures Of The Assessed Companies And Plan To Regulate Innovation Under The Momentu
... Show MoreIn most of Beckett’s plays , there are prominent elements of absurdity that are landmarks of his style and the way of his writing like : the physical and the spiritual decay of characters, the disintegration of language as it becomes no longer a means of human communication because there is an inability to establish any kind of mental contact among them. These elements are quite apparent in Beckett’s “All That Fall”. The play exhibits a list of conflicts: one is between powerful forces as that between the force of life represented by Maddy and the forces of death represented by Dan .The second is the conflict and contempt between the old generation and the new one in the case of Dan’s desire to kill the boy fetching
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