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 study was conducted to examine the anatomical aspects of
Ground state energies and other properties of 2S shell for some atoms as Be(Z=4), B(Z=5), C(Z=6) and N(Z=7) were calculated by using Hartree-Fock wave function. We found the values of potential energies in hartree unit (3.8369, 6.78565, 10.18852 and 14.41089) respectively and the other proprieties like expectation values of the position < r1m > were in agreement with the published results. All the studied atomic properties were normalized.
The research aims to demonstrate the impact of internal audit in Iraqi economic units on enhancing social performance reports, through the statistical models used, as a survey list (for the independent variant) of the search, which contains five axes of each axis, contains a set of The questions were prepared on the basis of the standards issued by the Institute of Internal Auditors (IIA) and were distributed to a sample of internal auditors, as for (for the approved variable) the researcher obtained numerical data represented by the financial statements of the research sample and used statistical models such as model (Kolmakrov-Smirnov) is a good match (goodness of fit) which assumes that the data is distributed naturally as wel
... Show MoreThe effect of compound machine on wheat/ AlNoor cultivar was studied based on some technical indicators. were tested under three speeds ( 2.541, 3.433 and 4.091km.hr-1) and three tillage depths (14, 16 and 18cm). The experiments were conducted in a factorial experiment under complete randomized design with three replications. The results showed that the 2.541km.hr-1 practical speed was significantly better than other two speed in all studied conditions. Except for the FC, which achieved the best results with the third speed 4.091 km.hr-1. mechanical parameters, plant growth parameters and yield and growth parameters. The 1
The study aims to clarify the truth of hearing the dead, and then the statement of the legitimate judgment of the indoctrination, by reference to the evidence contained in that regard, and try to combine and reconcile those evidence, and the study finds that the most correct in the matter of hearing is to say hearing the dead in the will of God and how Almighty teaches , As up to that indoctrination of the dead is permissible, so as to combine evidence.
Obtaining the computational models for the functioning of the brain gives us a chance to understand the brain functionality thoroughly. This would help the development of better treatments for neurological illnesses and disorders. We created a cortical model using Python language using the Brian simulator. The Brian simulator is specialized in simulating the neuronal connections and synaptic interconnections. The dynamic connection model has multiple parameters in order to ensure an accurate simulation (Bowman, 2016). We concentrated on the connection weights and studied their effect on the interactivity and connectivity of the cortical neurons in the same cortical layer and across multiple layers. As synchronization helps us to mea
... Show MoreThe study aimed at knowing the financial consumer about the available protection from financial and banking services, presenting, and examining the evidence of some indicators indicating the reality of financial inclusion in the Iraqi banking system. Therefore, the study sought to know the extent of the level of protection available to the financial consumer as a result of its use of financial and banking services by the Iraqi banking system, and what It is the reality of financial inclusion in the banking system by measuring some financial and banking indicators. The study relies on the two (analytical) and (descriptive) approaches based on the questionnaire form and the data issued by the Central Bank of Iraq (2017-2020). Watch
... Show MoreThe parasite Alchammannia Aaúlan Ahdma backbone and the other for Avgari and moves them alternately Vafiqra is Alannsan and Allbaún and other either Allavgari is an insect Aharms or sand fly of the genus deployed in the ancient world is different form the parasite and installed Albayukimaaúa in each of the Family is so when transmitted from host to another passes stages growth
