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.
Harold Pinter often portrays the dilemma of obliterated figures that are incapable of feeling of their own existences. These figures feel exhausted and frustrated in a world that deprives them their humanity. They retreat into a limited world where they look for security and protection. The characters' feeling of security is threatened by outside forces represented by intruding persons who stand for the mysterious powers that are indefinable. The conflict between these intruders and the characters finally ends with the characters’ defeat. The reason for the intruders' attack on the victims remains ambiguous and is not explained. The element of mystery pervades Pinter's plays and represents one of
... Show MoreContemporary life is racing against time in its temptations and variables, and it has become shaped and changed in an amazing way in its various aspects and fields. This was facilitated by intellectual and scientific communication between civilizations, and the rapid progression in successive inventions and discoveries in the fields of science and arts of knowledge. This contributed to a great economic and commercial renaissance. Then, these economic developments entered the world into a very strong competition, which forced producers to calculate all production costs, to reach the highest profits by reducing the price of the produced commodity on the one hand, and achieving quality in appearance (especially) on the other hand. Since the ma
... Show MoreThe road networks is considered to be one of the determinants that controls to specify the areas of human activities, which it depend on to specify the arrival cost , in addition it is useful to achieve the connectivity for interaction and human activities , and shorten the distance and time between the population and places of service. The density of the road network in any space directly affected by the density of population and the type of economic activities and administrative functions performed by the space. On this basis, the subject of this study is reflected in the quantitative analysis of the roads network in the Governorate of Karbala. The study consists the quantitative analysis for the roads network and the Urban Nodes in th
... Show MoreSummaryThe most important obstacles facing girls’ clubs in IraqLamia Hassan Al-Diwan - Fatima Abdel Maleh - Nahida Hamed Thank youResearch SummaryIn the introduction and the importance of the research: We talked about women entering endurance events and relying on the principle of more training will achieve better results in the future. Based on the concepts that call for the equality of men with women in all aspects of sporting and competitive activity and as a result of the decline in women’s participation in sports clubs that include men, we came to The idea of establishing clubs for Iraqi girls in 1992, with a club in every governorate, and the Iraqi National Olympic Committee adopted this idea, the goal of which is to develop
... Show MoreIraq enjoys many factors and ingredients that made it “affect and be affected at the same time” by the American-Iranian conflict from the “strategic geographical position” adjacent to Iran as an important point and that Iraq has been part of this conflict since the last period which witnessed the outbreak of the first Gulf War (1980-1988) because of border problems and a dispute over Shatt al-Arab, and what followed after that, specifically from 2003 when the United States of America and its allies occupied Iraq’s lands and made a political change by the destruction of its security and military institutions. It increased the importance of Iraq in being a subject of competition between the competing parties in exploiting the
... Show MoreThe first chapter included the frame approach on research in which we discuss instigation in Iraqi drama as it as an active sign to enrich the structure of the speech so the researcher limits the problem of his research which is to follow the important of instigation in the Iraqi theatrical discourse. this chapter also contains the important of the research and its aim and limits. And reflected the importance of research in approaching the concept of instigation and effectiveness within the paths of the Iraqi, theatrical discourse.The 2nd chapter included the two sections and reviewed in the first section manifestations of incitement in the global theatrical discourse. the 2rd studied instigation in the Arab theatrical discourse. The 3rd
... Show MoreThis research discussed analytically based on intellectual institutions and theoretical landscape theater as artistic phenomenon depends on the compounds interacting overlapping mechanism visualization and dazzling Whatever the dilemma it a set of Alaqcar differ among themselves but in the result unit intellectual holds through difference and diversity between trends and styles and ways in design theorist theatrics Valashkalah on apparently formed through variations and different points of view through the philosophy of transformation and interpretation and assignment to offer privacy.
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A new blind restoration algorithm is presented and shows high quality restoration. This
is done by enforcing Wiener filtering approach in the Fourier domains of the image and the
psf environments