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.
Abstract
Nowadays, the adoption of economic unity on the accuracy of financial reporting is very important. Economic units need accurate financial reporting to be more competitive and to improve the performance. Management can also achieve financial information in real time through the application of ERP systems. This system will facilitate management to access the most up-to-date information such as planning, monitoring and evaluating the business processes of the organization to be more effective.
On the practical side, the Enterprise Resource Planning (ERP) system was applied to the General Company for Vegetable Oils to demonstrate a course in enhancing the accuracy of financial reporting.
... Show MoreBackground: We aimed to investigate the accuracy of salivary matrix metalloproteinases (MMP)-8 and -9, and tissue inhibitor of metalloproteinase (TIMP)-1 in diagnosing periodontitis and in distinguishing periodontitis stages (S)1 to S3. Methods: This study was a case–control study that included patients with periodontitis S1 to S3 and subjects with healthy periodontia (controls). Saliva was collected, and then, clinical parameters were recorded, including plaque index, bleeding on probing, probing pocket depth, and clinical attachment level. Diagnosis was confirmed by assessing the alveolar bone level using radiography. Salivary biomarkers were assayed using an enzyme-linked immunosorbent assay. Results: A total of 45 patients (15
... Show MoreThe artistic concepts differ in their expressive and semantic relations, among these concepts are the artistic values, as there are points of view, social concepts and historical values interacted from one generation to another over the time. These values represent symbols and indications reflect reality, which has passed through the time to reach us with environmental forms saved by the history at the Natural History Museum, has an impact on the receives mind with its formal and sensory dimensions and connecting with that history as an environment that lacks to the current reality which has immortal means particularly in the cognitive thinking , and the reflection of that in the Iraqi culture and with the associated concepts of interior
... Show MoreThe political parties are considered to be the basic infrastructure in the political process for their great role in achieving the political movement in the country and to work on implementing the goals and interests of its voters in the event of their coming to power. If the parties that totalitarianism led to monopoly and monopolization, We can not talk in these countries about the liberal concept of the party and can not talk about the existence of a law or laws and regulations governing and regulate the work of parties. But on the other hand, which is represented by the liberal state, we find a lot of talk and practice about the form and nature of the legitimate law in regulating the formation of parties and their work in a manner th
... Show MoreFlorida is one of the most important American states. It was discovered by the Spanish explorer (De León), and subsequently, French and English colonies were established. By June 25, 1868, Florida had become one of the American states. Its economic importance became prominent after the increase in commercial activities, and its economy grew significantly in the first quarter of the twentieth century. In addition, its important geographical location enabled it to play a significant role in global politics.
The present study aimed to asspssment the nutrition a program to sample of student from internal departments of Baghdad University (AL-Jadiriya Complex) and the University of AL-MustanSiriya four grades and aged (19-24) year study included 150 male and female students by (75) male and (75) of female register height, weight nd body mass index were study habits and food pattern of the same sample (150) and by aspecial form and take the personal information interviews and record information on food intake during 24 hour .noted adifference practie in the weights and longths of male and female (sample).
BMI rates were within the normal weight as the value of BMI for males aged (19- 21)and (22-24) and (22.21) and (23,37),respectively and th
The present research aims to identify and define the basic dimensions of the information management strategy and the administrative creativity in the Faculty of Management and Economics / the University of Kirkuk, as well as the role played by the dimensions of the information technology management strategy in achieving the administrative innovation in the college and the research problem was formulated in several questions. The research problem was formulated in several questions centered on the correlation between the research variables, and the research was based on a major hypothesis and five sub-hypotheses emerged from which it was subjected to several tests to ensure its validity. The researcher used the descriptive-analyti
... Show MoreGreen areas are an essential component of city planning, as they serve as an outlet for them to spend their free time, in addition to the environmental role that these green areas play in improving the city’s climate by purifying the air and beautifying the city. The study’s problem is summarized in identifying the appropriateness of the current spatial distribution of green areas in the city of Najaf with the current population densities and the pattern in which green areas are distributed using GIS and knowing the per capita share of those green areas in the city, the research assumes that the inconsistency of spaces between regions Green and residential neighbourhoods need to c
A field study aimed at identifying the sources of mutual complaints among the Directorates of Education staff of their departments and management and run it in their daily dealings with principals in the province of Baghdad, and adopt approach. It was determined the research consists of (2357) male and female employees and 305 randomly stratified simple by the rate of (7%) from the research community as the number of sample reached (167) male and female employees, and selected sample was randomly stratified simple by the rate of (39.67%) of the research community, as the number of sample was (121) principals. It was constructed two questionnaires, the first included (28) items and the second contained (28) items. And the two researchers
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