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.
This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in associated with coupled Neumann boundary conditions of exponential type. The upper bounds of blow-up rate estimates are derived. Moreover, it is proved that the blow-up in this problem can only occur on the boundary.
One hundred and sixty samples from saliva and dental plaque were sellected from patients with caries active at ages from (4-65) years from Umm Qasr Primary School and Al-Ameria Specialist Dental Center in Baghdad. 15 isolates belong to Streptococcus mutans were identified by biochemical tests and Vitek 2 compact system while 22 isolates identified by using Polymerase Chain Reaction ﴾PCR﴿ techniques and sequencing of 16SrRNA with 120 bp by using 16SrRNA the result confermed that these isolates were belong to S.mutans.
This work involves the preparation of high yield iminochalcon compounds (B1-B15) through two parts. The first part involves the preparation of 2,4-dihydroxy Chalcone (A1-A15) by the condensation of 2,4-dihydroxy acetophenone with aryl aldehyde in the presence of sodium hydroxide (40%) as a catalyst. The second part includes the preparation of iminochalcon from the condensation of p-hydroxy aniline with 2,4-dihydroxy chalcone derivatives )A1-A15) in the presence of some drops of conc. H2SO4. Thin-layer chromatography ((TLC) was used to control the chemical reaction . These new derivatives were characterized by using FT-IR and 1H-NMR spectroscopy. These synthesized
... Show MoreThis study was aimed to detect and identify genetic mutations in γ-aminobutyric acid receptor β3 subunit encoding gene (GABRB3) and its association with autism spectrum disorders. Forty autistic patients and 25 non-autistic as control group (5 unaffected sibling and 20 unrelated) with age range from 3 – 10 years were included in this study. Chromosomal DNA was extracted from blood samples followed by polymerase chain reaction (PCR) amplification of two targeted regions which include: (exon2-intron2-exon3) region and (exon 6) region of GABRB3 for subsequent DNA sequencing. Identical bands related to the targeted regions were present in all samples. A sample of PCR products of patients and controls were sequenced. Sequencing results re
... Show MoreThe study aimed at designing a training program by using training for the anaerobic differential threshold stand and the effects of those trainings on the variables of (Concentration of Lactic Acid and LDH Enzyme, VO2 MaX and Cortisol Hormone). The Researchers used the experimental program with one-group style. Also, they used a sample with (8) men-players in a (free 400 m men-runners) and they used many instruments and procedures, most notably the training-program prepared for 10 weeks and for 3 training units weekly, (70-90 min) for each unit. They used the training intensity from 85-100% of the player's ability. After finishing the training program and doing some pre-tests and post-tests then statistically checking the results, the resea
... Show MoreThe concentrations of naturally radioactive made occurring and technically enhanced radioisotopes of fly ash samples, collected from Al-Dura thermal power Plant- south of Baghdad, have been investigated using the NaI(Tl) gamma-ray spectroscopy. The average Activity concentrations of the radio elements 238 U, 232Th and 40K in Fly ash samples are measured accurately and found to be 33.860, 32.6 and 644.64Bq/kg respectively. On the whole the radionuclide's concentrations are still below the global average of 50 Bq/kg for 238U and 232Th, but are much higher in 40K, relative to the global average, about 500 Bq/kg. The absorbed gamma doses in air, due to naturally occurring radionuclides in fly ash samples, are measured and found within the ra
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This study investigates the mechanical compression properties of tin-lead and lead-free alloy spherical balls, using more than 500 samples to identify statistical variability in the properties in each alloy. Isothermal aging was done to study and compare the aging effect on the microstructure and properties.
The results showed significant elastic and plastic anisotropy of tin phase in lead-free tin based solder and that was compared with simulation using a Crystal Plasticity Finite Element (CPEF) method that has the anisotropy of Sn installed. The results and experiments were in good agreement, indicating the range of values expected with anisotropic properties.
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... Show MoreThis paper presents a comparison study on thermal performance conic cut twist tape inserts in laminar flow of nanofluids through a constant heat fluxed tube. Three tape configurations, namely, quadrant cut twisted tape (QCT), parabolic half cut twisted tape (PCT), and triangular cut twisted (VCT) of twist ratio= 2.93 and cut depth= 0.5 cm were used with 1% and 2% volume concentration of SiO2/water and TiO
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