The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described. A comparison of various chebyshev methods is made by applying them to two-point eigenproblems. It is shown by analysis and numerical examples that the approach used to derive the generalized Chebyshev method is comparable, in terms of the accuracy obtained, with existing Chebyshev methods.

The effective Skyrme type interactions have been used in the Haretree-Fock
mean-field model for several decades, and many different parameterizations of the
interaction have been realized to better reproduce nuclear masses, radii, and various
other data. In the present research, the SkM, SkM*, SI, SIII, SIV, T3, Sly4, Skxs15,
Skxs20 and Skxs25 Skyrme parameterizations have been used within Haretree-Fock
(HF) method to investigate some static and dynamic nuclear ground state properties
of 174-206Hg isotopes. In particular, the binding energy per nucleon, proton, neutron,
mass and charge densities and corresponding root mean square radii, neutron skin
thickness and charge form factor. The calculated results are comp

The researchers aim of this research to analyze the reality of educational services in the city of Ramadi in order to reveal the efficiency of the spatial distribution of schools at the level of residential neighborhoods and the requirements of the population, based on the standards and indicators for this service.

The research problem related to the educational function of the city of Ramadi was formulated by asking about the efficiency of the spatial distribution of educational services and whether there is a balance in the distribution of schools to residential neighborhoods in a way that meets the requirements of the population, and in order to answer the research problem, the research hypothesis was formulated that there is

The aim of this work is to evaluate the one- electron expectation value from the radial electronic density function D(r1) for different wave function for the 2S state of Be atom . The wave function used were published in 1960,1974and 1993, respectavily. Using Hartree-Fock wave function as a Slater determinant has used the partitioning technique for the analysis open shell system of Be (1s22s2) state, the analyze Be atom for six-pairs electronic wave function , tow of these are for intra-shells (K,L) and the rest for inter-shells(KL) . The results are obtained numerically by using computer programs (Mathcad).

     This study was carried out to obtain the optimum conditions necessary for the process of soya protein hydrolysis by using hydrochloric acid (as a chemical catalyst) instead of the papain enzyme (as a biological catalyst), for the production of soya peptone. These conditions are implemented to test the effect of the variables of the process of hydrolysis on the nature and quality of the product.

        The production of soya peptone was studied for their importance in the process of preparing and producing the culture media used in medical and microbiological laboratories.

      The process of production of soya peptone includes four main

The applications of mobile robots in rescue scenarios, surviving to search, and exploration for outdoor navigation have received increasing attention due to their promising prospects. In this paper, a simulation of a differential wheeled mobile robot was presented, implementing a Global Positioning System (GPS) data points to specified starting points, final destination, and total error.

In this work, a simple kinematic controller for polar coordinate trajectory tracking is developed. The tracking between two points, pose to pose, was specified by using the GPS data points. After that, the geodesy (GEO) formulation was used to convert the geodesy coordinate to Euclidean or polar coordinate. The Haversine equation

This study was conducted on species composition, morphology, ecological characteristics, biotope distribution, ecological groups, biodiversity indicators and zoogeography of leeches and gastropods distributed in the lower Ak-Buura River. According to the results, it was found that 7 species of leeches belonging to 4 families and 6 genera and 10 species of fresh-water gastropods belonging to 3 families and 6 genera live in the lower Ak-Buura River. In the river, it was observed that leeches are mainly distributed in muddy biotopes, and gastropods are widespread in muddy, stony and sandy biotopes with a lot of plants. Biodiversity indices of leeches and gastropods in the Ak-Buura River were analyzed using the Shannon index. As a result, it

Background: Lumbar disc degeneration (LDD) is a common musculoskeletal disorder that frequently causes low back pain (LBP). In addition to the discomfort of lower back pain, it can accompany pain in one or both legs. The lumbar spine and sacrum, consisting of five vertebrae and one bone, determine the spine's balance. Microelements are essential in bone metabolism and are associated with the prevention of osteoporosis and the alleviation of musculoskeletal pain. Objectives: To examine the correlation between lumbar spinal surgery and the concentrations of microelements, namely zinc and copper. Methods: A case-control study was conducted in Ghazi Al-Hariri Hospital in Baghdad, Iraq, during the period from October 2023 to January 2024

ABSTRACT:

The study aims at expounding the correlation and effect between the Human resource development strategy and Quality Municipality Service within a theoretical framework and a practical framework conducted at Directorate Of Municipalities in holy Karbala . The researcher found during a pilot study that there isn’t enough care paid by the Directorate Of Municipalities in developing its human resources using one strategy or a number of strategies and their effect on the Quality Municipality Service. Thus a number of research questions were set concerning the existence of clear perception in the Directorates Of Municipalities concerning the strategies of developing both the human resource an Qualit