The techniques of fractional calculus are applied successfully in many branches of science and engineering, one of the techniques is the Elzaki Adomian decomposition method (EADM), which researchers did not study with the fractional derivative of Caputo Fabrizio. This work aims to study the Elzaki Adomian decomposition method (EADM) to solve fractional differential equations with the Caputo-Fabrizio derivative. We presented the algorithm of this method with the CF operator and discussed its convergence by using the method of the Cauchy series then, the method has applied to solve Burger, heat-like, and, couped Burger equations with the Caputo -Fabrizio operator. To conclude the method was convergent and effective for solving this type of

In this paper, the proposed phase fitted and amplification fitted of the Runge-Kutta-Fehlberg method were derived on the basis of existing method of 4(5) order to solve ordinary differential equations with oscillatory solutions. The recent method has null phase-lag and zero dissipation properties. The phase-lag or dispersion error is the angle between the real solution and the approximate solution. While the dissipation is the distance of the numerical solution from the basic periodic solution. Many of problems are tested over a long interval, and the numerical results have shown that the present method is more precise than the 4(5) Runge-Kutta-Fehlberg method.

  The research addresses the most important elements of the ancient Iraqi heritage represented by architecture and plastic arts being the direct means that preserved the heritage due to the ease of preserving them and the speed of circulating them and diversity of their topics. Through the features of these elements, the research problem has been defined in the form of questions including: what are the most important elements of the ancient Iraqi heritage? What are the plastic arts? What are the most important topics adopted? What is the concept of palm in the ancient Iraqi heritage? What is the evidence for that?
Has it been employed in the Iraqi contemporary art? What is the evidence for that? How to employ it in the arts and t

The current research aims to study (the effect of strategy of analysis - synthesis duality in the collection of scientific fourth stage students and high-order thinking in Biology material). For evidence the objective of the research, the researcher formulated the following two null hypotheses: 1. There is no significant difference at the statistical level (0.05) between the average of scores of the experimental group students that will study according to the dualism strategy of analysis and structure and the average of scores of the controlled group students that will study according to the normal way in the collection. 2. There is no significant difference at the statistical level (0.05) between the average of scores of the experimenta

ليس جديداً القول بان هناك حاجة مستمرة ومتزايدة لاستخدام البيانات الاقتصادية المتسقة عن القطاعات المختلفة في الاقتصاد القومي لدعم وإسناد عملية التحليل الاقتصادي وتطوير النماذج الاقتصادية الكلية.

وتعرض مصفوفة الحسابات القومية Social Accounting Matrix  (SAM) اطاراً شاملاً من المعلومات الأساسية لهذا النوع من النماذج والتحليل. فهي تتضمن كلا من المستخدم- المنتج
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الكلمات المشتقة من الاعداد

The aim of this paper is to estimate a nonlinear regression function of the Export of the crude oil Saudi (in Million Barrels) as a function of the number of discovered fields.

 Through studying the behavior of the data we show that its behavior was not followed a linear pattern or can put it in a known form so far there was no possibility to see a general trend resulting from such exports.

We use different nonlinear estimators to estimate a regression function, Local linear estimator, Semi-parametric as well as an artificial neural network estimator (ANN).

The results proved that the (ANN) estimator is the best nonlinear estimator am

In this study, gamma-ray spectrometry with an HPGe detector was used to measure the specific activity concentrations of ²²⁶Ra, ²³²Th, and ⁴⁰K in soil samples collected from IT1 oil reservoirs in Kirkuk city, northeast Iraq. The “spectral line Gp” gamma analysis software package was used to analyze the spectral data. ²²⁶Ra specific activity varies from 9  0.34 Bq.kg^-1 to 17  0.47 Bq.kg^-1. ²³²Th specific activity varies from 6.2  0.08 Bq.kg^-1 to 18  0.2 Bq.kg^-1. ⁴⁰K specific activity varies from 25  0.19 Bq.kg^-1 to 118  0.41 Bq.kg^-1. The radiological hazard due to the radiation emitted from natural r

The research problem was to identify the impact of monetary policies on economic growth in the oil and non-oil countries. The researcher chose the Republic of Iraq as an example for the oil countries and the Arab Republic of Egypt as an example for the non-oil countries to hold a comparison on the impact of monetary policies.

The research found that the monetary policies and their tools in the Iraqi economy affect the rate of GDP growth by 73%, which shows the strong impact of monetary policies on the economic growth in the Iraqi economy as an example of an oil state. GDP growth rate of 61%, indicating the impact of monetary policies on economic growth in the