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.
Background: the activity of acute lymphoblastic leukemia had been observed to correlate with levels of serum lipoproteins
Objective: to evaluate the correlation of serum levels of different types of lipoproteins with activity of the disease in patients with acute lymphoblastic leukemia.
Type of the study: A prospective study.
Methods: A study included patients diagnosed as acute lymphoblastic leukemia, their serum levels of lipoproteins at time of diagnosis, and on relapse were obtained for comparison.
Results: there is significant inverse correlation of activity of acute lymphoblastic leukemia with serum total cholesterol
... Show MoreThis paper addresses some of the morphological views of Al-Seraphy in the matter of "altasqeer" (reduction) in his book, "shareh ketab Sibawayh" (the explanation of Sibawayh's book) linking between them (views of Al-Seraphy) and the data of the morphological theme, in ancient times, and recently. Through balancing between what we have learned from the views of Al-Seraphy and the views of other former linguists and grammarians and latecomers of him. In this research we have linguistically and idiomatically explained the definition of "altasqeer" (reduction), and it's standard morphological balancing and what has deviated from it, by the examples in both cases; then we has produced the views of the grammarians of that "the definition of "a
... Show MoreTwo isolates of Staphylococcus xylosus (urease producer and non urease producer) were injected in mice at a dose of 2 × 108 colony-forming units (CFU) intraurethrally. Results showed that both isolates were able to colonize kidney and bladder of the injected mice, regardless of their urease production. Moreover, there were insignificant differences between the two groups. These results emphasized the pathogenicity of this bacteria in UTI.
Nanocomposites of polymer material based on CdS as filler
material and poly methyl methacrylate (PMMA) as host matrix have
been fabricated by chemical spray pyrolysis method on glass
substrate. CdS particles synthesized by co-precipitation route using
cadimium chloride and thioacetamide as starting materials and
ammonium hydroxide as precipitating agent. The structure is
examined by X-ray diffraction (XRD), the resultant film has
amorphous structure. The optical energy gap is found to be (4.5,
4.06) eV before and after CdS addition, respectively. Electrical
activation energy for CdS/PMMA has two regions with values of
0.079 and 0.433 eV.
The study started from the problems of wars and the damage that result from deterioration and destruction of infrastructure and the absence of planning and urban reconstruction. The study aims to address the condition of the bad destroyed bridges that have paralyzed traffic from the right and left sides of the city of Mosul. The study is based on the assumption that the reconstruction of bridges will improve the transportation network in the city of Mosul. The study relied on several approaches, including: the historical approach by reviewing global and local experiences and the descriptive approach to review the reality of the state of Mosul after the liberation process, through maps and the analytical approach through statistics and da
... Show MoreThe pathogenicity of S. saprophyticus was studied in mice. A group of white mice were injected transurethrally using a catheter with S. saprophyticus S67 cell suspension in a concentration reached 109 CFU/ml. concomitantly, the role of its peptidoglycan in the pathogenicity was studied by injecting another group of mice with 0.3 mg/0.2 ml of partially purified S. saprophyticus S67 peptidoglycan extract. After autopsy, kidneys and urinary bladder showed several histopathological changes both in cells and peptidoglycan injected mice, included: hydropic degeneration, glomerulus shrinkage, congestion of renal vessels, infiltration of inflammatory cells, and dekeratinization in urinary bladder.
An experimental investigation has been carried out for zinc-nickel (Zn-Ni) electro-deposition using the constant applied current technique. Weight difference approach method was used to determine the cathode current efficiency and deposit thickness. Also, the influence effect of current density on the deposition process, solderability, and porosity of the plating layer in microelectronic applications were examined. The bath temperature effect on nickel composition and the form of the contract was studied using Scanning Electron Microscope (SEM). Moreover, elemental nature of the deposition was analyzed by Energy Dispersive X-Ray (EDX).
It has been found that the best bath temperature
... Show MoreIt is no secret that the prophets speech is of great importance, as the second source of Islamic legislation after the Holy Quran, and as such we must reserve and verify the authenticity of the novel and the narrators seizure, and all the conditions laid down by the scholars.
The subject of our research here concerns part of this verification, which is the unknown, the subject of the unknown hadith is considered a matter of great interest by the modernists because it relates to the validity of the novel and the narrators, and the methods of the modernists varied in terms of the reasons for this weakness, the fool never entertained them by the reckless narrative.
I chose the subject of my research the types of Mahjail and
... Show Morethe Reception and the Creative Reaction
The method of Similarity of important topics in Arabic Rhetoric has ample evidence in the Qur'an and the Hadith and the words of the Arabs and this study is limited to only the Koran.
There have been Similarity in the Holy Quran on both types : investigative and discretion , but the verses are more Similarity investigative and in verse 49 Similarity investigative and in verse 25.
The rush of Albulageyen and many other examples of Quranic Vmtheloa on Similarity , with a linguistic analysis and return to the origins of the meanings are not properly counted Similarity , Kolvaz cunning , deception , and maliciousness , the bad and ridicule.
This study seeks as much as possible to the statement of this phenomenon and stand on these t