This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations. The method is derived from power series approximation with the resulting equations discretized at the selected grid and off-grid points. The method is applied in a block-by-block approach as a numerical integrator of higher-order initial value problems. The basic properties of the block method are investigated to authenticate its performance and then implemented with some tested experiments to validate the accuracy and convergence of the method.

The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free. The formula for the integral by parts has been proven for the left Caputo–Katugampola fractional derivative that contributes to the finding and deriving the necessary optimality conditions. Also, three special cases are obtained, including the study of the necessary optimality conditions when both the final time  and the final state  are fixed. According to convexity assumptions prove that necessary optimality conditions are sufficient optimality conditions.

The two-dimensional transient heat conduction through a thermal insulation of temperature dependent thermal properties is investigated numerically using the FVM. It is assumed that this insulating material is initially at a uniform temperature. Then, it is suddenly subjected at its inner surface with a step change in temperature and subjected at its outer surface with a natural convection boundary condition associated with a periodic change in ambient temperature and heat flux of solar radiation. Two thermal insulation materials were selected. The fully implicit time scheme is selected to represent the time discretization. The arithmetic mean thermal conductivity is chosen to be the value of the approximated thermal conductivity at the i

The cinematographer mediates through the means of cinema and television a set of elements complementing each other in the light of developments in various sciences, culture and arts for the purpose of conveying the meaning to the recipient and achieve aesthetic taste. Despite the diversity of cinematographic media with its multiple forms, The researcher started from the principle of definition and knowledge of a technical phenomenon that emerged in the cinematographic medium through the treatment of dramatic events through the solutions of the exit line depends on the narrative of events in one place contributes to attract Mam spectator since this interesting phenomenon in the mediator, there .van question arises the adoption of that vis

The study aimed to determine of some Optimum conditions for bioremediation and removing of seven mineral elements included hexavalent chromium, nickel, cobalt, cadmium, lead, iron and copper as either alone or in group by living and heat treated cells of baker’s yeast Saccharomyces cerevisiae. The dried baker's yeast from Aldnaamaya China Company was used in this study. Biochemical tests was used to ensure yeast belonging to S. cerevisiae and then used to remove the mentioned mineral elementes under different conditions which included incubation period, pH, and temperature. It was found that the best of these conditions was 60 minutes for duration of incubation, 6 for pH, 25 ᵒC for temperature. During the study the behavior of living

The research explores the confessional aspect in Audre Lorde's poem" Who Said It Was Simple ". Lorde depicts her personality under the stress of race, sex and sexuality. She discloses her own bitter experience concerning racism, sexism and sexuality in her poem to revive the retrospective truth of the Afro-Americans' life in the USA. This publicly manifestation of her personality and tribulation throughthe language ofpoetry has been regarded as the hallmark of confessional poetry.

The infection with H. Pylori stimulates a signaling cascade that causes the generation of Cytokines and provokes Oxidative stress that is involved in the chronic inflammatory response leads to Gastric cancers. Reactive oxygen species (ROS) produce 8-Hydroxydeoxyguanosine (8-OHdG), the persistent oxidative DNA damage product. The study objective was to assess if there was a link between inflammatory cytokine levels and the presence of Oxidative DNA damage in Gastric tumor patients. In addition, evaluation of the diagnostic and prognostic value of Oxidative DNA damage and inflammatory cytokine biomarkers for Stomach cancers is being conducted. The study was accomplished on medically diagnosed Stomach cancer patients before any form of trea

هدفت الدراسة إلى التعرف على الحيوية الذاتية فضلاً عن التعرف على الفروق في الحيوية الذاتية بين الطلبة على وفق متغير الجنس (ذكر – انثى) والمرحلة الدراسية (أول-رابع) والتخصص الدراسي (علمي-انساني)، تألفت عينة الدراسة من (120) طالبا وطالبة من طلبة الجامعة، وتم تطبيق مقياس الدراسة -مقياس (الحيوية الذاتية) وهو (من إعداد الباحثة)، وقد اسفرت نتائج الدراسة عن: - إن طلبة الجامعة يتمتعون بدرجة عالية من الحيوية الذاتية. - وجود ف

Purpose: The study aims to investigate the extent to which material and non-material requirements are available in applying budgeting programs and performance in Iraqi governmental companies that are not aimed at achieving profits. whose activities are limited to providing services of public interest. This is done by studying the extent to which the requirements of each stage of preparing the programs and performance budget can be met.   Theoretical framework: The process of evaluating financial performance is the main objective of all economic units, whether they are governmental or private economic units. Budgets contribute to the evaluation process by analyzing deviations in the application. The study includes an analytical pres