In this paper we use non-polynomial spline functions to develop numerical methods to approximate the solution of 2nd kind Volterra integral equations. Numerical examples are presented to illustrate the applications of these method, and to compare the computed results with other known methods.

A new pavement technology has been developed in Highway engineering: asphalt pavement production is less susceptible to oxidation and the consequent damages. The warm mix asphalt (WMA) is produced at a temperature of about (10-40) ^oC lower than the hot asphalt paving. This is done using one of the methods of producing a WMA. Although WMA's performance is rather good, according to previous studies, as it is less susceptible to oxidation, it is possible to modify some of its properties using different materials, including polymers. Waste tires of vehicles are one of the types of polymers because of their flexible properties. The production of HMA, WMA, and WMA modified with proportions of (1, 1.5, and 2%) of rub

We investigate mathematical models of the Hepatitis B and C viruses in the study, considering vaccination effects into account. By utilising fractional and ordinary differential equations, we prove the existence of equilibrium and the well-posedness of the solution. We prove worldwide stability with respect to the fundamental reproduction number. Our numerical techniques highlight the biological relevance and highlight the effect of fractional derivatives on temporal behaviour. We illustrate the relationships among susceptible, immunised, and infected populations in our epidemiological model. Using comprehensive numerical simulations, we analyse the effects of fractional derivatives and highlight solution behaviours. Subsequent investigatio

Warm Mix Asphalt (WMA) is a modern energy-saving process that uses environmentally friendly materials, has lower mixing and compaction temperatures, and uses less energy and releases less contaminants than conventional hot mix asphalt. Moisture damage poses one of the main challenges of the material design in asphalt pavements. During its design life, the asphalt pavement is exposed to the effect of moisture from the surrounding environment. This research intends to investigate the role of the polypropylene fibres for modifying the moisture susceptibility for the WMA by using different percentages of polypropylene (namely 2, 4, and 6%) by weight of the binder of the control mixture (WMA). In this paper, the physical characteristics

Research Summary

First: the problem of research and its importance

      The teacher's success in facilitating the students' learning and growth according to the educational and educational goals set out, he must identify the problems of discipline of students in the classroom in terms of sources and reasons and types and methods of prevention and treatment and the teacher to remember that success in his teaching and instruction is not completed more fully once he has the information And knowledge of the subject of the lesson, but must understand the dynamics of the group (class group) and master the skills of classroom management, su

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         This reaserch seeks To answer Wondering :(Is there a possibility employ strategic agility In companies sample Serving in Iraq ?)

       This reaserch aims: explore Strategic Agility rely upon Dimensions that interact with each other to form the intcllectual frame Strategic Agility, These dimensions are: (Clarity of vision, Selected

   The research aims to identify the role of educational institutions in instilling the values ​​of integrity among emerging in word and deed and identifies research in educational institutions that have a significant impact in the emerging figures such as (family , school , media , mosque , civil society organizations , youth clubs .Have been identified the most important search terms of ( values ​​,educational institutions , Integrity) also touched search particular concern values ​​education and its impact on emergent behavior , then separate search in the role of each educational institution to establish moral values ​​in general and the values ​​of integrity, particularly in the behavior of emerging

الخلاصة:
ة k تعتبر عملیة تشفیر البیانات الصوتیة من التكنولوجیا المألوفة لخزن ونقل الاشارات الصوتیة. العلامة المائی
ات k اق المعلوم k مح بالح k ذا تس k وتیة وھك k ارات الص k طة الاش k ة بواس k ات المنقول k تعطي القوة في عدم التحسس بوجود البیان
القیمة بالمحتوى مثل اسم المؤلف او الفنان او حقوق الطباعة المتعلقة بالبیانات.
ة k وع موج k ن ن k وتي م k ف ص k ي مل k ص ف k وع ن k ن ن k ة م k ة المائی k اء العلام k نة لاخف k ة محس k ث خوارز