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 goal of current research to know the according of scientific values in the curriculum of chemistry sixth - grade science To achieve this goal wasa to build aalistaofa scientifica values toa be included in the curriculum of chemistry sixth - grade science after seeing a group of literature and previous studies, the list presented to a group of arbitrators and specialists in educational and psychological sciences and methods of teaching science, and curricula and teaching methods , Arbitrators and specialists have expressed their views and comments on the tool, and that the list was formed in final form (9) values Head of scientific includes ( 35) sub - value, then the researcher analyzed the chemistry curriculum for sixth grade Scient
... Show MoreThe Main think that be kept by the speech communication as a concept traditionally being expressed on the subject or a certain idea of a goal came on as needed functional addressed to recipients of benefits or likely to benefit from those rhetorical message through a speech importance and priority of the effect of not less than the effect of that letter, in science content role ends once you absorb it mentally, either in the art of design Valamadmon intellectual embodied through its interaction with the overall shape of the finished design, and often content is associated in the mind of the receiver through a letter communicative linked to the sense or the goal that meant the designer, and try to identify and explain. And meaning i
... Show MoreThe regulatory authorities have implemented various standards to address the risks associated with credit facilities. One important aspect is the use of the Credit Bureau System (CBS), which plays a central role in ensuring banking soundness. Thus, the study seeks to explore the role of CBS in attaining banking soundness as a fundamental principle. The research sample consisted of three Iraqi banks spanning from 2010 to 2022. The research findings indicated that the implementation of CBS had a significant positive impact on achieving Banking Soundness (BS) rates in my bank. Furthermore, the asset quality index's value increased significantly, surpassing the standard value of 5%. It became evident that the banks needed to formulate a well-de
... Show MoreBridging the Gap between Graphemes and Phonemes in the Phonetic Transcription
This research aims to analyze the impact of the United States policy of pressure and sanctions on changing Iran's conduct. Since the Islamic Revolution of Iran in 1979, the US has continuously pursued various policies towards Iran, aiming to change the regime by force or isolate it politically and economically. The main research question lies in the following: To what extent does the US pressure policy and its sanctions affect the conduct Iran?. This research discusses that the more there are economic and political alternatives to Iran, the more it will be challenging the US demands. Moreover, the more the US pursues a negotiating policy based on mutual interests, the more Iran will positively respond to American demands.
This research include building mathematical models for aggregating planning and shorting planning by using integer programming technique for planning master production scheduling in order to control on the operating production for manufacturing companies to achieve their objectives of increasing the efficiency of utilizing resources and reduce storage and improving customers service through deliver in the actual dates and reducing delays.
Since the end of World War II, the United States of America began to look at the Gulf States and Iraq due to the possession of huge quantities of oil, after taking the American oil depletion in order to tighten control over the oil of these countries, has pursued various means, political and military, in the framework of its strategy So that it could achieve this control, which focused on control of production and prices, for the conviction that those who control oil impose control over the political decision of the countries of the world.
Is the subject of environmental analysis of the important issues that should occupy the attention of the departments of banks in general and banks in particular, the research sample, regardless of their size and the nature of its activity, So if the current era and witnessing rapid developments and changes, making the banking environment is more complex and interconnected than ever, And it became not possible for banks to be aware and understand the external environment variables without an analysis of the various constituent elements and influential heavily in its financial and administrative,Therefore research aims to find out the relationship between the external environment and banking facilities analysis application on the Rafidain
... Show MoreThe effects of shot peening treatment (SPT) were studied at (10,20, and 30) minutes on the rotating bending fatigue behavior and the behavior of the alloy steel DIN 41Cr4 vibrations. The hardness test, tensile test, constant amplitude fatigue tests, and the vibration measurements were performed on samples with and without cracks at room temperature (RT), also, the fracture surface was examined and analyzed by a Scanning Electron Microscope (SEM). The results of the investigations, for example, Stress to Number of cycles to failure (S-N) curves, fatigue strength improvement factor of 5% to 10%, the decreasing percentage of maximum Fast Fourier Transform (FFT) acceleration of the shot-peened condition were compared to untr
... Show More