Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/15956
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Master Thesis On discrete fractional calculus with applications(Çankaya Üniversitesi, 2015) Hammood, HayderIn this thesis, we present the discrete fractional calculus in the frame of the Delta difference operator and discuss the most important properties and theorems. In order to solve delta fractional difference initial value problems, we discuss the Laplace transform related to this calculus and give the main formulas that are needed to solve such problems. The discrete fractional calculus in the frame of the Nabla difference operators and the related Laplace transforms are discussed and some Nabla fractional difference initial value problems are solved as well.Master Thesis Effects of e-government and GIS technology for developing services in education sector case study: Schools in Kirkuk City center(Çankaya Üniversitesi, 2014) Abdulrahman, Bashar AdnanThe field of e-government has become an important subject around the globe because it refers to the delivery of government services by means of technology to save resources and bring governments closer to their citizens and to the private sector. This study underlines how most e-government projects require spatial datasets to improve public services. Pertinent examples already found/extant in the literature are examined, and investigating schools locations in Kirkuk city are selected for the case study. In parallel to the literature review, a study of the geographical distribution of schools is shown to be necessary such that land use for educational facilities occupies an unobjectionable part of the Kirkuk urban area, which in turn makes decision makers take this (land) use into account when the government is to establish city master plans. This thesis presents how establishing a working GIS in the education services would improve e-government applications due to the fact that GIS tools and facilities improve flexibility and accuracy in the management of both spatial and non-spatial datasets. As the measurements recognized by the EU and UN show, e-government initiatives need to be prepared above accurate, clean, timely and controlled shared datasets. Therefore, establishing strong databases and making legislative changes to enable data sharing among government agencies are found to be the primary targets of both central and local governments. The thesis shows that establishing a working GIS to provide services to students, teachers, citizens and decision makers in the education sector is technically feasible. However, the starting point ought to be collecting raw data from the field and ensuring that the data is updated in a timely manner, and not acquiring hardware and software. In so doing, Iraq can rank higher in international e-government measurement reportsMaster Thesis Fractional differential equations and their applications(2004) Avkar, TanselThe Laplace transform method for solving fractional differential equations is pre sented. The fractional diffusion and fractional Schrödinger equations together with their properties are investigated. The Lagrangians linear in velocities are analyzed using the fractional calculus, and the fractional Euler-Lagrange equations are derivedMaster Thesis On fixed point theorems occurring on metric and D-metric spaces(2004) Palta, HasanIn this thesis, we first give some basic knowledge about "the fixed point" based mainly on the Banach Contraction Principle. Later, we give explanations about the development of this concept. At last, we discuss a new terminology called "the D- metric space" and relate the previous contributions to the latterMaster Thesis New geometrical aspects of constrained system(2003) Cenk, MuratBağıl sistemler yeni bir geometrik bakışla incelendi ve integrallenebilir geometrilerin yüzey terimlerinin önemi vurgulandı. Klasik mekaniğin geometrik formülasyonu ve simplektik geometri kısaca sunulduMaster Thesis Numerical solutions of ordinary differential equations(2003) Çevik, SibelDiferensiyel denklemler, birçok fiziksel olayı modellemede kullanıldıgmdan, bu denklemlerin çözüm metotları fizik ve mühendislik gibi alanlarda çalışan lar için büyük önem taşımaktadır. Bilinen analitik tekniklerle birçok denklem çözülebilmesine rağmen, önemli sayıda fiziksel uygulamalar için bu metotlar yetersiz kalmaktadır. Böyle denklemler ancak nümerik metotlarla çözülebilir ler. Diferensiyel denklemlerde yaklaşık sonuç bulan birçok metot bulunmaktadır. Bu tezde, tüm bu nümerik metotlar ele alınmıştır. Birinci bölümde, tezde kul lanılacak temel kavramlar, ikinci bölümde ise; denklemlerin kesin sonuçlarını değil, ancak yaklaşık sonuçlarınıveren nümerik metotlar verilmiştir. Son bölümde ise Runge-Kutta metot baz alınarak geliştirilmiş başlangıç değer problemlerini çözen yeni bir metot incelenmiştir. Bu metot, Runge-Kutta metoduna, işlem sayısını arttırmadan, yüksek mertebeden türevler eklenerek elde edilmiştir
