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 aim of the current study is to identify the morphological description of the tongue in mongoose (Herpestes javanicus) and its relation to the feeding pattern. For this purpose the (5) samples of tongues were dissected from the head of mongoosecaught from different areas of Al-Najaf province, cleaned in normal saline and examined under the dissecting microscope. The results showed the absence of the middle groove in the lingual apex area. As well as the absence of lingual prominence in the body area. The dorsal surface is characterized by the presence of four types from lingual papillae (filiform, cylindrical, fungiform, circumvallate), while the ventral surface is free of lingual papillae. The filiform papillae spread throughout the dor
... Show MoreThis paper displays the effect of uncoated and coated chopped carbon fibers with alumina Al2O3 or Tri calcium phosphate (TCP) on the impact strength of acrylic poly methyl methacrylate (PMMA) denture base resin. To improve bonding between carbon fibers and coating materials powders, the surface of carbon fibers has been treated with Para amino benzoic acid (C9H10N2O3) and poly vinyl alcohol (PVA) was also used. The morphology of the coating layers has been examined by field emission scanning electron microscope (FE-SEM). From the results, PMMA reinforced with uncoated chopped carbon fiber has high impact strength value but still have bad aesthetic. Samples prepared b
... Show MoreIn this study, measuring effectiveness Alauriz in some seeds powder and found that the seeds of-sophistication sex had the highest effective enzymatic reach 353 units / gProtein and Alkabbatah study enzyme extract under different storage conditions and Altaj showed that the enzyme loses Thbatih and whether Mrkbhetwan adding Alklasrin concentration of 10% for the systematic solution
The 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
... Show MoreIn this study, the adsorption of Zn (NO3)2 is carried out by using surfaces of malvaparviflora. The validity of the adsorption is evaluated by using atomic absorption Spectrophotometry through determination the amount of adsorbed Zn (NO3)2. Various parameters such as PH, adsorbent weight and contact time are studied in terms of their effect on the reaction progress. Furthermore, Lagergren’s equation is used to determine adsorption kinetics. It is observed that high removal of Zn (NO3)2 is obtained at PH=2. High removal of Zn (NO3)2 is at the time equivalent of 60 min and reaches equilibrium,where 0.25gm is the best weight of adsorbant . For kinetics the reaction onto malvaparviflora follows pseudo first order Lagergren’s equation.
The aim of the present study was to investigate the histological structure of the tongue in Mongoose (Herpestes javanicus) and its related to the feeding pattern. Five adult animals were used in this study . The tongues were dissected and fixed in 10% formalin, then prepared by following stages (dehydration, clearing, and embedding).The serial section(5µ) were stained with(H&E) and some special stains.The histological examination showed that the tongue consists of three tunicae (mucosa, submucosa and musclaris) and the lining epithelium of the filiform papillae is composed of keratinized stratified squamous epithelial tissue. The cylindrical papillae are covered with a highly keratinized stratified squamous epithelial tissue, whereas the k
... Show MoreIn recent years, the need for Machine Translation (MT) has grown, especially for translating legal contracts between languages like Arabic and English. This study primarily investigates whether Google Translator can adequately replace human translation for legal documents. Utilizing a widely popular free web-based tool, Google Translate, the research method involved translating six segments from various legal contracts into Arabic and assessing the translations for lexical and syntactic accuracy. The findings show that although Google Translate can quickly produce English-Arabic translations, it falls short compared to professional translators, especially with complex legal terms and syntax. Errors can be categorized into: polysemy,
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