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Newton-Kantorovich Method for Solving One of the Non-Linear Sturm-Liouville Problems
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Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems
witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich
method is applied in this work to one of the non-linear Sturm-Liouville problems. To the best of the authors’
knowledge, this technique of Newton-Kantorovich has never been applied before to solve the non-linear
Sturm-Liouville problems under consideration. Accordingly, the purpose of this work is to show that this
important specific kind of non-linear Sturm-Liouville differential equations problems can be solved by
applying the well-known Newton-Kantorovich method. Also, to show the efficiency of applying this method
to solve these problems, a comparison is made in this paper between the Newton-Kantorovich method and the
Adomian decomposition method applied to the same non-linear Sturm-Liouville problems under consideration
in this work. As a result of this comparison, the results of the Newton-Kantorovich method agreed with the
results obtained by applying Adomian’s decomposition method.

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Publication Date
Sun Apr 02 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Conjugation of Steroidal and Non – Steroidal Anti- Inflammatory Drugs as Possible Mutual Prodrug
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Prednisolone (SAID) was conjugated with ibuprofen (NSAID) through an amino acid (glycine) as a spacer arm to synthesize the following compound:

Prednisolone – glycine – ibuprofen.

    The method employed consists of converting the carboxylic acid function of (R,S) – ibuprofen – glycine to the highly reactive acid chloride and subsequent reaction with the C21 hydroxyl group of prednisolone. This reactive intermediate was found to react as well with the C17 tertiary hydroxyl group of the steroid to form three compounds and eight diastereomers. These results were confirmed by T.L.C, and the desired compound was separated by column chromatograph

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Publication Date
Wed Mar 18 2020
Journal Name
Baghdad Science Journal
New Versions of Liu-type Estimator in Weighted and non-weighted Mixed Regression Model
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This paper considers and proposes new estimators that depend on the sample and on prior information in the case that they either are equally or are not equally important in the model. The prior information is described as linear stochastic restrictions. We study the properties and the performances of these estimators compared to other common estimators using the mean squared error as a criterion for the goodness of fit. A numerical example and a simulation study are proposed to explain the performance of the estimators.

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Publication Date
Sun Dec 01 2002
Journal Name
Iraqi Journal Of Physics
Photophysics of Coumarin 460: Temperature Effect upon Fluorescence Lifetime and Non-Radiative Rate Parameter
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The temperature influence on the fluorescence lifetime, quantum yields and non-radiative rate parameter or coumarin 460 dye dissolved in methanol was investigated in the temperature range (160-300 k). A single photon counting technique was used or measuring the fluorescence decay curves. A noticeable decrease of the fluorescence lifetime with increasing the temperature was observed. The non-radiative activation energy of 10.57 K.J. mole-1 was measured by the help of Arrhenius plot.

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Publication Date
Tue Jun 01 2021
Journal Name
Iop Conference Series: Earth And Environmental Science
Variation of non-diatomic algae in a martyr monument lake under different climate factors
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Abstract<p>The current study was conducted in the environment of the Martyr Monument Lake in the city center of Baghdad during 2019 to monitor the impact of climatic conditions such as drought, water shortage, high temperatures in the environment of the city and the lack of water flow during the years 2015 to 2018 and their effects on some of the physical and chemical factors of water and the dynamics of the phytoplankton community in the lake environment. Heterogeneity of some studied environmental factors, including air and water temperature, permeability, water depth, pH, DO, BOD5, nutrients, nitrate, NO3, and phosphates were found. The results showed the effect of climate change and the pres</p> ... Show More
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Publication Date
Tue Jul 01 2025
Journal Name
Kirkuk Journal Of Medical Sciences
Socio-Demographic Characteristics of Individuals Seeking Non-Surgical Aesthetic Procedures: A Cross-Sectional Study
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Publication Date
Mon Dec 30 2024
Journal Name
Iraqi Journal Of Science
Archaeological prospecting using the Electric Resistivity Imaging method at the Borsippa site, Near Babylon, Central Iraq
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Many important archaeological sites in Iraq still need to be preserved. Some of these sites were subjected to destruction and negligence. So, exploring these sites represents a priority for its protection. A 2D Electrical Resistivity Imaging (ERI) as a non-invasive geophysical survey method was implemented at a part of the Borsippa archaeological site near Babylon to search for the subsurface archaeological artefacts/structures. Electrical resistivity measurements were carried out using a Dipole-Dipole array. Steps were taken to process and filter using Horizontal profiles, forward modelling, and 2D inverse models to analyze the resistivity measurements. The ERI inversion results show that the superficial conductive zone produced va

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Publication Date
Fri Dec 01 2023
Journal Name
Journal Of Economics And Administration
تقدير معامالت مناذج احندار رشاحئ اجلزاء ابس تعامل طريقة )SOP)
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فًي التحلٌيل اإلحصائ،ً حٌث تعتبر طرٌمة انحدار شرائح تلعب تمنٌات تحلٌل االنحدار الالمعلمً دوراً مركزٌاً لتمهٌد البٌانات، اذ ٌمكن من خاللها تمدٌر الدوال مباشرة من الجزاء واحدة من أكثر الطرائك المستعملة حالٌاً ( بدالً ة البٌانات الصاخبة)التً تحتوي على أخطاء( أو الملوثة )data noisy من االعتماد على نماذج معلمٌ محددة، وتعتمد طرٌمة التمدٌر المستعملة لمالئمه نموذج انحدار شرائح الجزاء فً الغالب على طرائك المربعات الصغر

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Publication Date
Sun Mar 01 2020
Journal Name
Baghdad Science Journal
A Comparative Study on the Double Prior for Reliability Kumaraswamy Distribution with Numerical Solution
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This work, deals with Kumaraswamy distribution. Kumaraswamy (1976, 1978) showed well known probability distribution functions such as the normal, beta and log-normal but in (1980) Kumaraswamy developed a more general probability density function for double bounded random processes, which is known as Kumaraswamy’s distribution. Classical maximum likelihood and Bayes methods estimator are used to estimate the unknown shape parameter (b). Reliability function are obtained using symmetric loss functions by using three types of informative priors two single priors and one double prior. In addition, a comparison is made for the performance of these estimators with respect to the numerical solution which are found using expansion method. The

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Publication Date
Fri Jan 10 2025
Journal Name
Journal Of University Of Anbar For Pure Science (juaps)
Evaluation the Initial Values for Eccentric Anomaly for an Ellipse Orbit: Article Review
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The equation of Kepler is used to solve different problems associated with celestial mechanics and the dynamics of the orbit. It is an exact explanation for the movement of any two bodies in space under the effect of gravity. This equation represents the body in space in terms of polar coordinates; thus, it can also specify the time required for the body to complete its period along the orbit around another body. This paper is a review for previously published papers related to solve Kepler’s equation and eccentric anomaly. It aims to collect and assess changed iterative initial values for eccentric anomaly for forty previous years. Those initial values are tested to select the finest one based on the number of iterations, as well as the

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Publication Date
Fri Jun 12 2020
Journal Name
Test Engineering & Management
Studying the Optical Properties of CdSe Quantum Dots Prepared by Colloidal Method with Different pH Values
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