In this paper the modified trapezoidal rule is presented for solving Volterra linear Integral Equations (V.I.E) of the second kind and we noticed that this procedure is effective in solving the equations. Two examples are given with their comparison tables to answer the validity of the procedure.

In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods. Finally, programs for each method are written in MATLAB language and a comparison between the two types has been made depending on the least square errors.

The research aims to know (the effect of the pdeode strategy) in acquiring historical concepts among the fourth-grade literary female students in the history module. To achieve the goal of this research, the following null hypothesis was formulated. There is no statistically significant difference at the level of (0.05) between the average scores of the experimental group students, who study history according to the PDEODE strategy, and the average scores of the control group students who study the same module in the traditional way of the historical concepts acquisition test.The researcher chose the experimental method for the current research and adopted the experimental design of partial control with a post-test, which depends on the

Adolescence important and sensitive stage in social terms, being a stage where learns teenager bear social responsibilities and composition of their ideas about family life, as well as it is the stage where the teenager looking to himself for an important place in the community to become independent socially people, so it highlights the role of Social Work to do better effort and I believe him in order to prepare for the adolescent stage of adolescence and help him overcome the problems so that makes it adapts to the society in which he lives

ان المشكلة البحثية تتحدد في ان المهام والادوات التي تملكها السلطة التنفيذية، من الصعوبة تركها من دون رقابة، والرقابة والتقييد ياتي من اطراف عدة، واهمها: السلطة التشريعية، فالبرلمان في العراق منح اختصاصات للنظر في اعمال واداء السلطة التنفيذية بما يضمن تقيدها بالدستور الاتحادي. والهدف من هذا البحث هو الاشارة الى اهمية الاختصاصات الممنوحة للبرلمان العراقي، بما يضمن التاسيس لدولة القانون، اي وجود مرجعية قانو

لطالما تُبنى قرارات الاستثمار في أسهم الشركات المدرجة في أسواق البورصة على خلفية المؤشرات المالية لها والتي عادةً مايتم إصدارها في نشرات سنوية معتمدة من قبل تلك الاسواق، إذ غالباً مايقوم المحللون الماليون بالاستعانه بها لتوجيه المستثمرين لإتخاذ القرارات المتعلقة بشراء أو بيع أسهم هذه الشركات.

لكنه على الرغم من ذلك تحدث إنهيارات كبيرة في أسواق البورصة بين فترة وآخرى وخير مثال على ذلك ما أ

The auditor plays a key role in economic life because of the confidence his report adds to the audited financial statements. In applying the various stages of the audit process, the auditor must maintain a high moral level that determines his type of commitment in his professional behavior before God first, And to the society at last in a way that supports its independence. On this basis, the aim of the research is to identify the threats that affect the independence of the auditor. To achieve the objective of the research, the hypothesis that there is a statistically significant relationship between the threats facing the auditor and his professional independence was formulated. In the light of testing the hypotheses of research it was

In this paper, SiO2 nanoparticles thin films were synthesised at different PH values of solution by sol gel method at fixed temperature (25oC) and molar ratio (R =H2O/precursor) of (Tetra Ethyl Ortho Silicate) TEOS as precursor at (R=1). The structure and optical properties of the thin films have been investigated. All thin films were tested by using X-RAY diffraction. All X-RAY spectrum can be indexed as monoclinic structure with strong crystalline (110) plane. The morphological properties of the prepared films were studied by SEM. The results indicate that all films are in nano scale and the particle size around (19-62) nm .The size of silica particles increases with increasing PH value of solution where both the rate of hydrolysis and