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 research aims to identify the most important concerns that led to the increase of interest in the topic of corporate governance and specifically highlighting the role of the audit committees of the Administration Board in reducing the risk of the auditor and the rationalization of professional judgments، in particular about accepting the assignment and setting the fees of the audit process by extrapolating global experience in this area ، and a field study is conducted for a sample of private Iraqi banks to evaluate the role of audit committees constituted currently per with bank law no. (94) of 2004 and to be acknowledged with actual performance of these committees and their role in recommending the n
... Show MoreIntroduction: The association between acute stroke and
renal function is well known. The aim of this study is to
know which group of patients with acute stroke is more
likely to have undiagnosed Chronic Kidney Disease and
which risk factors are more likely to be associated with.
Methods:We studied 77 patients who were diagnosed to
have an acute stroke.Patients were selected between
April2011andJune 2011 using the " 4-variable
Modification of
Diet in Renal Disease Formula " which estimates
Glomerular Filtration Rate using four variables :serum
creatinine ,age ,race and gender.
Results :The study included 38 male and 39 females
patients ,aged (35-95) years. Glomerular Filtration Rate in
patients wi
Lower neck pain is one of the problems facing all ages, especially the elderly, as it revolves around the causes of this pain from many diverse factors. The aim of the research is to use special intense exercise accompanied by intermittent electrical stimulation to get rid of lower neck pain among professors of the College of Science - University of Baghdad for ages. (40-60) years and to identify the extent of the effect. The research assumed the presence of statistically significant differences. The research sample represented professors at the University of Baghdad - College of Science who suffer from continuous pain for the period between (10/15/2023) and (1/15/) 2024) and their number is (5), The researchers used the experimenta
... Show MoreThis study aims to identify the level of students’ awareness at Imam Muhammad bin Saud University of the requirements of married life in the light of social changes and suggested methods to deepen this awareness (according to the Islamic educational vision) from their own perspective. In this study, the researcher used the descriptive approach with a survey research method, depending on questionnaires to collect data, which he applied to students of College of Sharia in Imam Muhammad bin Saud Islamic University, as well as, students in the fields of Sociology, Social Work, and Psychology in the College of Social Sciences. The findings of the study revealed that students are aware of the requirements of married life concerning mutual ri
... Show MoreThe use of the word “war” alone raises horror and fear in the hearts of the recipients, especially if this war aimed at human’s life, his health and his future. It is the electronic advertising war among rival international companies that use cyberspace to create fear and horror in the hearts of the recipients because it connects the use of the product with human’s death or serious illness.
The problem of this research sheds light on the new uses of cyberspace which fucked by international companies to strike the interests of each other by displaying the defects of their products and its negative impact on citizen’s life. Despite the fact that those wars have opposed strongly, there are supporters for those wars. Their argu
The expression is a prominent feature of the Arabic language, but it is one of the characteristics that are inseparable from it. The expressive aspects of each other.
The issue of Arab differences and their impact on the divergence of meaning is one of the issues that have preoccupied the minds of the Arabic language owners and their views went to various doctrines. Introduction: (Whenever I finished a question concluded with a verse related to any download, and followed by the need for expressing, interpretation and interpretation) I found him in some of the Aarabip more than the face of some of the vocabulary raised and erected and a jar, when the verses of the Koran, resulting in a research lies between Grammar and the Koran under
Lillian Hellman was an American playwright whose name was associated with the moral values of the early twentieth century. Her plays were remarkable for the moral themes that dealt with the evil. They were distinguished, as well, for the depiction of characters who are still alive in the American drama for their vivid personalities, effective roles and realistic portrayal. This paper studies Lillian Hellman’s The Little Foxes as a criticism of the American society in the early twentieth-century. Though America was a country built on hopes and dreams of freedom and happiness. During the Great Depression, happiness was certainly not present in many people's lives. The presence of alternate political ideas, decay of love and values increased
... Show MoreDesign system often generated relationship within the frame work of their concept of interior design a system or more can be created between design relationships within this concept in the structure of its internal space product. Through the division of all to it parts to reveal the hidden places and stages of composition and their relationship and interdependence between them. And then re- composition of all its parts, doth in the deign process at the initial stages or in the processes of treatments that are necessary after the completion of design and circulation. To be able to use other events close to the first events designed for them. In terms of idea logical in fluency and its social, economic, cultural and political dimension. As
... Show MoreMy research tagged [the lights of the statement in the first part of the Koran] came to show that the dear book was developed according to a precise linguistic system is not increased by a word or letter or movement - Aldmh and Kira and the hole - and does not lack anything of it except with the wisdom required by the meanings of the Koranic text or Sura generally . The Koran does not come falsehood from his hands or from behind it is infallible and preserved; because it was revealed by the sage Hamid Hamid ﭽﮗ ﮘ ﮙ ﮚ ﮛ ﮜ ﮝ ﮞ ﭼ [stone]. The Qur'an is safe from any verbal or moral dominance and dominates all the heavenly books and exists at any time and place that speaks the truth ﭽ ﯛ ﯜ ﯝ ﯞ ﯟ ﯹ ﯺﭼ [The
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