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.
Used automobile oils were subjected to filtration to remove solid material and dehydration to remove water, gasoline and light components by using vacuum distillation under moderate pressure, and then the dehydrated waste oil is subjected to extraction by using liquid solvents. Two solvents, namely n-butanol and n-hexane were used to extract base oil from automobile used oil, so that the expensive base oil can be reused again.
The recovered base oil by using n-butanol solvent gives (88.67%) reduction in carbon residue, (75.93%) reduction in ash content, (93.73%) oil recovery, (95%) solvent recovery and (100.62) viscosity index, at (5:1) solvent to used oil ratio and (40 oC) extraction temperature, while using n-hexane solvent gives (6
Our critical history is marked by the presence of eminent poets who have tried to read, as for their texts, such as Al-Mutanabbi, Ibn Abd Rabu and Ibn Arabi. As for the texts of others, such as Al-Farazdaq, Jarir, and Omar bin Abi Rabi'a, and what is distinctive in their readings was that they were texts corresponding to the reading text, then the reading of Jarir Naqdah and Omar bin Abi Rabi`a was an opposition and Ibn Abd Rabu was scrutinized and Ibn Arabi was an interpretation and al-Mutanabi an explanation, and I found that these in their readings constitute a specificity that must be revealed The way of this research (constructive critical reading by the Arab poet - a critical study -) their poor are critical because criticism is pr
... Show MoreThe aims of this research are : 1. To measure mental health among disabled in Baghdad. 2. To identify the statistical differences in mental health among disabled in Baghdad according to gender. 3. To identify the statistical differences in mental health among disabled in Baghdad according to age. The scale of mental health (Aljbori&abdulhussin,2015) was adopted by the researcher, A purposely sample were selected of (60) disabled at Iraqi Alliance of Disabilitiv (IAD) in academic year 2015 to 2016. Where data have analyzed by SPSS. The results found. 1. The disabled characterized with good level of mental heath. 2. There was no significant differences between ganders 3. There are no significant differences between age. Results and rec
... Show MoreIn this work the diode planer magnetron sputtering device was
designed and fabricated. This device consists of two aluminum discs
(8cm) diameter and (5mm) thick. The distance between the two
electrodes is 2cm, 3cm, 4cm and 5cm.
Design and construction a double probe of tungsten wire with
(0.1mm) diameter and (1.2mm) length has been done to investigate
electron temperature, electron and ion density under different
distances between cathode and anode. The probes were situated in
the center of plasma between anode and cathode.
The results of this work show that, when the distance between
cathode and anode increased, the electron temperature decreased.
Also, the electron density increases with the increasing
Research Summary
First: the problem of research and its importance
The teacher's success in facilitating the students' learning and growth according to the educational and educational goals set out, he must identify the problems of discipline of students in the classroom in terms of sources and reasons and types and methods of prevention and treatment and the teacher to remember that success in his teaching and instruction is not completed more fully once he has the information And knowledge of the subject of the lesson, but must understand the dynamics of the group (class group) and master the skills of classroom management, su
... Show MoreThe cost management of cost indicators in housing projects, on the level of planning and design, is the most important quality indicators, for adoption of strategies of planning and design efficient in managing these indicators. So this research points out the need to highlight the most effective and influential cost indicators in housing projects, and to determine strategies in the management of these indicators in order to raise the efficiency of housing projects quality, to seemly the income level target group, taking into consideration the quality of housing standards, to achieve the basic requirements of housing. This paper highlights the importance of the cost management, the types of housing cost, the method
... Show MoreHadiths Fasting volunteer in the six books
The acoustic efforts of the glass were found in the meanings mixed with other linguistic, grammatical and morphological issues, as the glass was not allocated to the detective or separate chapters in the meanings. The glass-walled in the audio lesson according to the doctrine of the optical, has stated so in several places of its meaning. Glass is interested in mentioning the strong qualities that have a great impact in the chorus and replacements such as loudness, dishes, arrogance, whistling, repetition, and richness. Glass was concerned with the phenomenon of diphtheria great care, and explained its purpose of seeking lightness and ease of pronunciation, and Siboe agreed in its origins and issues, and the glass used three criteria in
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This research Find semantic relations between the Holy Quran and readings anomalous in particular, does not mention the readings anomalies are all but signed the examples of them where he found a marked contrast between them and what is known in the Holy Quran, and the intervention of research in the words of the commentators and between their views and stated what is unacceptable and what before, nor Luck meaning significantly different in some readings, leading to different Islamic ruling as well, also found that of the readings made clear what is meant by the blessed verse in the Holy Quran and signed to be even if it was abnormal.
The Scarlet Woman, Waugh's only screenplay and one of the least popular among his works, says more than it really does. Despite its crudeness in terms of plot, acting, and directing, it conveys a serious message. On a limited scale, The Scarlet Woman might be regarded as Waugh's version of Dante's Purgatorio. Written when he was at Oxford, it shows symptoms of subconscious rejection of the wild life he led without God. Five years before his conversion to Catholicism, Waugh seems to have been waiting for purgation. This is his design in The Scarlet Woman.
As a satirist a
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