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 research studies the conflict issue regarding climate rapid change as a fact which occupied scientists and specialists alike, who research in this particular field, especially in recent years and how this matter has been dealt with according to real and in fictional structures via films and TV.
The researcher dealt with two researches in this study :
The first : climate extremes, human and drama rituals.
The second : realistic and imaginary construction in the cinematographic medium.
The study is based on the analysis of the film "GeoStorm", which focuses on the issue of global natural storms and the dangerous weather phenomena that threaten our planet as a result of neglect and tampering
... Show MoreBefore the unit environmental problems serious the issues of the environment and conservation of contemporary issues important in the developed and developing worlds, it was natural that leads increasing global awareness to alert a group of intellectuals, scientists and politicians to the seriousness of this problem and the call to take steps deeper and more comprehensive with respect to the environment humanitarian based on the study of the various elements of this environment and a greater understanding of the relationships among them, and on this basis, steps have been taken to target the environment and to identify problems and make efforts to achieve the goals I: stop the deterioration of the environment and the second impro
... Show MoreThe research sheds light on an important religious sect that played a fundamental role in the structure of the Iraqi society in general and the Baghdadi society in particular, in which the Jews in general and the Jewish women in particular played an active role in the culture and heritage of Baghdadi society. The educational, cultural and artistic activity of Jewish literacy is a model for study.
Background: Mondor's disease means superficial thrombophlibitis of the chest wall in human, treatment is entirely symptomatic. Hot, wet dressing and anodynes may be used for pain relief.
Objective: To evaluate the role of systemic and transdermal action of diclofenac (olfen) with respect to the symptom and sign (pain, erythema along the superficial vein), and the use of Doppler ultrasonography which is a colored ultrasound used for assessment of flow of blood in vessels.
Method: The study was performed on 12 cases with Mondor's disease in middle age female patients with the involvement of lnframammary veins in all of the them (commonly affected), 4 cases had reassurance only, 4 cases had reassurance with systemic diclofenac, and th
Some have considered the dialectic in form and meaning from different points of view, and dismantled them from each other, and this view is correct if we adopt according to the logic of Aristotle when it comes to dialectic, the dialectic of form and meaning has different aspects and does not share a single line in terms of conceptual meaning, the form is the appearance What the recipient sees with the help of cognitive tools, the content or content is the mental meaning, which in turn depends on his own tools, and to this extent this view is correct, and the intellectual content or meaning of the artwork or the human message that the artist wants to convey to the viewer.
The research included four chapters. The first chapter included
Are the actions and rulings of God Almighty justified by intentions and purposes or not? This is a matter of the minutes of the science of theology in which there was a wide difference between the Islamic groups, especially the verbal ones.
This study is an attempt to reach the correct opinion or to avoid it, and to clarify the disagreement that took place in this issue, especially in the Ash'ari school of thought, and it is also an attempt to reconcile opinions as much as possible, and to explain what may appear to be disagreements among some.
Therefore, I divided this research into two topics, and issued it with an introduction in which I defined the terms that are related to the explanation.
Ajloun reserve is the most important reserved areas set up by the Jordanian government to encourage development and ecotourism, is located on the green mountains of Ajloun north of Jordan, was founded in 1989 and follow The Royal Society for the conservation of the natur, an area of 13 km2, and covered with thick forests of oak trees and Butm, maple and others, characterized by the diversity of vital consists of 319 species of medicinal and aromatic plants and wild flowers, and where there are 40 species of birds, 14 species of mammals, 16 reptiles, 5 species of plants registered in the world. The Reserve has a great importance in Jordan ,it is the most reservations attractive to tourists, both internally and externally, and prov
... Show MoreThis research studies the effect of particle packing density on sintering TiO2 microstructure. Sintering experiment was conducted on compacts involving of monodisperse spherical TiO2 particles. The experimental results are modeled using L2-Regression technique in studing the effect of two theoretical values of 55% and 69% of initial packing densities. The mathematical simulation shows that the lower values of density compacts sintered fast to theoretical density and this reflects that particle packing density improved densification rate because of the competing influence of grain growth at higher values of densities.
The cinematic medium consists of a group of elements that overlap with each other in balance, giving it its high influential capabilities, and the character is one of the most important of these elements, as it performs a set of important functions, foremost of which is the transmission of the main ideas to the recipient, and since cinema is an art closely related to the intellectual data of the worlds outside it, it is influenced by them and then reproduces them intellectually more deeply and with a higher vitality through its intermediate elements, including the character, to re-broadcast them to society with a retrograde movement, and the character of the prisoner is one of the cinematic characters that achieved this goal, as we can infe
... Show Moreof the research is one of the poetic purposes that expresses the philosophy of the intellectual poet who experienced life and learned the tendencies and the gulf of the human soul and the fact that an intellectual attitude towards them, intensified within the poems do not need to be frequently narrated and elaborated, but based on the few words in the rich meanings and expressed the point of view he wanted to convey to the recipient without taking the position of disorientation and retreat to himself expressing his rejection of this reality, but faced this reality different manifestations and reflections and the conditions of human beings in it detailed His opinion is constructive criticism, and accurate observations reveal the culture o
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