The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions. Using the matrix of Wang-Ball polynomials, the main singular perturbation problem is converted into linear algebraic equation systems. The coefficients of the required approximate solution are obtained from the solution of this system. The residual correction approach was also used to improve an error, and the results were compared to other reported numerical methods. Several examples are used to illustrate both the reliability and usefulness of the Wang-Ball operational matrices. The Wang Ball approach has the ability to improve the outcomes by minimizing the degree of error between approximate and exact solutions. The Wang-Ball series has shown its usefulness in solving any real-life scenario model as first- or second-order differential equations (DEs).
The entrance process re-engineering one of the main entrances of administrative and technology appropriate to keep pace with scientific progress and the continuing changes in business environment and for the purpose of achieving the goal sought by the organizations in the pursuit of rapid developments and renewable energy in the market competition by changing its operations and activities of the radical change which contributes to an effective contribution to reducing the cost of product or service taking into account the quality improvement in the management of change to keep the increase value and speed of placing on the market to meet customer needs and desires to achieve a
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Abstract
The miraculous of al-Quran has been surrounded by the attention of scholars, as it is the one that has astonished the rhetoricians with its eloquence. So , they paid attention to every part of it and hugely they studied it with accuracy in respect to its Surah ad Ayahs. It is considered the most important source from which Arab scholars and early grammarians drew, given their unanimity that it is the highest degree of eloquence and the best record of the common literary language.
Among these sciences is the science of Grammar, and without Qur’an, this science would not have emerged, which later had control over every science of Arabic
... Show MoreThe research mainly seeks to predict the amounts of non- oil Iraqi exports which concludes ) Food & Animals , Raw materials and non- tanned Leather and fur , Mineral fuels and Lubricating Oil , Chemical substances and amounts , Manufactured goods , Electrical and non - electrical machines , Supplies and Total non- Oil exports ) by using Markov Chain as one of Statistical approach to forecasting in future . In this search We estimate the transliteration probabilities matrix according to Maximum Likelihood on a data collected from central organization for Statistics and information technology represents an index numbers of non- Oil exports amount in Iraq from 2004 to 2015 depending on 2007 as a basic year . Results shown that trend of index
... Show MoreThe tax is a financial amount collected from the taxpayer for the account of the public treasury.. and is the cornerstone of the close bond between members of the community and the country in which they live , as income tax is imposed on the profits and revenues achieved by people and often the constitution of most contemporary countries stipulate that the legislator is obligated to determine the sources of revenues and profits subjected to tax. Because the tax has a serious impact on people’s money because it is exposed to that money through direct deduction . Therefore, we note that the applicable income Tax Law stipulated that in order income to be subject to tax , it must be derived from one or more of the income sources st
... Show MoreIn the present research the flame retardancy to buildings and industrial foundations which are manufacturing from advanced polymeric composite material was increased by coating it with surface layer included flame retardant material. A(3mm) thick antimony tetroxide was used as a coated layer to retard and prevent the flame spread to the coating surface of polyester resin (SIROPOL 8340-PI) reinforced with hybrid fibers as a woven roving (°45-°0) consist of carbon and kevlar (49) fibers, and exposed it to direct flame generated from gas torch at temperature of (2000ºC), at different exposed distance (10,15,20mm)and study the rang of resistance for this layer and its ability to protec
... Show MoreCriteria to be met in selecting the obtimal areas for generating alternative electric energy from wind
The aim object of research is to show the computerized services library of Salahaldeen University in Erbil city in Iraq, so the research treatment all side of library such as building, location ,staff ,finance, resource collection and services ,we refer to. problem which face library such as administration and finance through the using Of case study method, reference source ,meeting , online comment and data record .The study focus develop in library departments, users services, management ,staff, the resource collection, building and location.
The study ending with many results and recommendation to develop the library services by using modern Information system to all users inside and outside the university and link them with other
The aim of this study is to evaluate the association between IBD and oral symptom and mucosal lesions in patients with Crohn’s disease and ulcerative colitis
Methods: This is a cross-sectional study that has been done in (Kurdistan center for Gastroenterology and hepatology) of Teaching Hospital in Sulaymaniyah-Iraq, which included 101 patients previously diagnosed with Inflammatory Bowel Disease who were interviewed regarding manifestations of inflammatory bowel disease especially oral manifestations. Required data were collected through a specially designed questionnaire,
Results: The patients’ mean age was 45.74±12.58 years. Patients with ulcerative colitis and Crohn’s disease w
... Show MoreThe Recent days witness an in creasing importanc of Islamic Banks which stems from the wide spread in Islamic and non-Islamic countries,Especially in USA and European countries.the consideration in Islamic Banks came after the financial crisis in 2008.Islamic Banks work with conventional banks in most countries,that is,the formers may face the same risks which face the latters,that represent the larger percent of the International Banking system.the problms that may affect Islamic Banks related to many causes,some related to the working in common economic environment.others related to the possibility of simulation to the method of investment and financing in conventional Banks,this mean,the work with principles not compling with
... Show MoreKE Sharquie, AA Noaimi, SJ Murtada…, Journal of Cosmetics, Dermatological Sciences and Applications, 2016 - Cited by 4