Matematik ve Bilgisayar Bölümü Tezleri

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/222

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New geometrical aspects of constrained system
(2003) Cenk, Murat; Matematik
Bağıl sistemler yeni bir geometrik bakışla incelendi ve integrallenebilir geometrilerin yüzey terimlerinin önemi vurgulandı. Klasik mekaniğin geometrik formülasyonu ve simplektik geometri kısaca sunuldu
Numerical solutions of ordinary differential equations
(2003) Çevik, Sibel
Diferensiyel 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
Hamilton-Jacobi formulation of interacting fields
(2003) Gül, Yusuf; Matematik
İki bağıl sistem kanonik yöntem ile incelendi. Toplam diferansiyel denklemler Proca Model için elde edildi. Kuantalaştırılmış alanların etkileşimleri incelendi ve n-alana genelleştirildi. Elektromanyetik alan uygulamasında, etkileşimlerin bağıl ifadesinin Feynman diyagram ve S-Matriks ile uygun olduğu gözlendi
Fractional differential equations and their applications
(2004) Avkar, Tansel; Matematik
The 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 derived
Mathematical aspects of superintgrable systems
(2004) Defterli, Özlem; Matematik
Superintegrallenebilir Sistemler
On fixed point theorems occurring on metric and D-metric spaces
(2004) Palta, Hasan; Matematik
In 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 latter
Numerical computation of integrals in higher dimensions
(2006) Baydar, Hakan; Matematik
Quadrature refers to any method for numerically approximating the value of definite integral a f (x)dx. The goal is to attain a given level of precision with the fewest function evaluations. The factors that control the diffi culty of a numerical integration problem are the dimension of the integral and the smoothness of the integrand f . Any quadrature method relies on evaluating the integrand f on a ï¬ nite set of points (called the abscissas or quadrature points), and after processing these evaluations to produce an approximation to the integral. Usually this involves taking a weighted average. The goal is to determine which points to evaluate and what weight to use so as to maximize performance over a broad class of integrands. This study reviews Monte Carlo and Newton-Cotes methods of numerical approximation of integrals on both rectangular and non rectangular regions and contains new routines that can evaluate integrals up to 7 dimensions over arbitrary regions in MATLAB. The work aims to compare the methods and give some approximation results using our self-written code
Numerical computation of integrals in higher dimensions
(2006) Baydar, Hakan; Matematik
f (x)dx şeklindeki belirli integralin nümerik olarak yaklaştırılması işin herhangis u s cbir method kullanılmasına tümlev alma denir. Amaş en az fonksiyon değerlendirimiu c gile verilen duyarlılık seviyesinde sonuş elde etmektir.cNümerik bir integral probleminin zorluğunu kontrol eden faktürler integralin boyutuu g ove fonksiyonun pürüzsüzlüğudür.u u u ug ü uHer tümlev alma methodu, integrali alınan f foksiyonunu sınırlı sayıda noktadau(absis veya tümlev alınan nokta) hesaplamaya dayanır, daha sonra bu değerler biru gyaklaştırım elde etmede kullanılır. Genelde bu ağırlıklı ortalama almayı gerektirir.s gHedef hangi noktalarda fonksiyonun hesaplanacağı ve hangi ağırlıkların kullanıla-g gcağıdır, üyle ki integrali alınan fonsiyonlarda en geniş sınıfta maksimum performansg o selde edilsin.Bu araştırmada integrallerin nümerik yaklaştırılmasında kullanılan Monte Carlos u sve Newton-Cotes metodları güzden geşirilmiştir ve MATLAB ile yazılmış 7. dereceyeo c s skadar integralleri herhangi bir bülgede hesaplayabilen yeni programlar işermektedir.o cBu şalışmada amaş metodları karşılaştırmak ve kendi yazdığımız kod ile bazıcs c ss gyaklaştırım sonuşlarını vermektedir.s c
The snakeboard as a mechanical control and constrained system
(2006) Bilgen, Adnan; Matematik
The snakeboard problem is investigated as a constrained, control system using the Hamilton-Jacobi formulation. Equations of motion are solved numerically in La- grangian and Hamiltonian approaches
Discrete mittag–leffler functions in fractional calculus
(2011) Benli, Betül
A speci c type of Caputo q{fractional di erential equations has been solved. The solutions have been expressed via the generalized q- Mittag Le er functions which were comprised a while ago. The method of successive approximation has been used to reach the solutions. Mittag-Le er function makes q-analog, which was proposed by Kilbas and Saigo before, generalized. In addition to this, discrete Mittag-Le er functions and q-analog Mittag- Le er functions, concluded by T. Abdeljawad and D.Baleanu recently, have been discussed in the content of this thesis. Keywords: Fractional Sums, Fractional Di erences, Mittag{Le er Function, Q{Mittag-Le er Function, Discrete Mittag{Le er Function, Caputo Q{Fractional Integral, Caputo Q{Fractional Derivatives, Time Scale, Euler Lagrange Equation.
Discrete Mittag-Leffler functions in fractional calculus
(2011) Benli, Betül
A specific type of Caputo q?fractional differential equations has been solved. The solutions have been expressed via the generalized q- Mittag Leffler func- tions which were comprised a while ago. The method of successive approxi- mation has been used to reach the solutions. Mittag-Leffler function makes q-analog, which was proposed by Kilbas and Saigo before, generalized. In addition to this, discrete Mittag-Leffler functions and q-analog Mittag- Leffler functions, concluded by T. Abdeljawad and D.Baleanu recently, have been discussed in the content of this thesis
The benefits and potential implementation problems of GIS in the water distribution services of municipalities case study: The Kirkuk Water Directorate
(2012) Ali, Suha Aziz
A potential implementation of geographic information systems (GIS) in Kirkuk Water Directorate is evaluated at a preliminary level. Selected literature has been surveyed and it is perceived that there are municipalities of smaller, bigger and same sizes which have successfully setup GIS in their water distribution departments for asset management, real time monitoring and hydraulic modeling in there services . Such works report success stories in managing their network as well as pinpointing malfunctioning segments due to problems such as leak, blowout or broken pumps. This research targeted to reveal potential problems that Kirkuk Water Directorate can face while transforming paper based records into digital environment for a prospective GIS. While the literature survey has provided reports of successful applications, any potential problem that Kirkuk Water Directorate can face could be only inferred from them. Hence, to experience GIS software and data preparation, a GIS course has been followed by the researcher. The researcher has also contacted key informants who have actively worked in Ankara?s water distribution department during the rehabilitation of its GIS. By this way, potential problems could be identified. Investigations have been done over sample files of map sheets shared by the Kirkuk Water Directorate and it is seen that potential problems can be solved by a data operator who has attended a basic GIS course. Both the literature and investigation results show that preparing spatial and non-spatial databases of assets is the start of a productive GIS. Before increasing data quality, building a hydraulic model is almost impossible and setting up a real time monitoring system is quite difficult. It is also found that organizational changes such as in business rules could be necessary as frequent field trips will be needed with the GIS staff to check assets in use. It is expected that this research will be beneficial for the municipality of Kirkuk to manage resources in implementing GIS for it is anticipated to start financial feasibility works under this topic
Cyber security in the national protection of Turkey
(2012) Aydın, Faruk
Cyber attacks supported by individuals and states are increased by the prevalence of information technologies and usage of these technologies at the critical infrastructure of the states. In this study, these cyber attacks and associated impacts are researched. In connection with this issue, evolution of cyber threats from malware such as viruses to weapons is studied by examples. In addition, within this thesis, precautions against these threats are mentioned. Usage of anti-malware applications as prevalent precautions is assessed within this context. National and international standards of information security, information security strategies of EU, USA and some other countries and precautions for cyber security of Turkey are studied. In the 9th Development Plan of Turkey, building information society is targeted. In this thesis, requirements to reach this target securely are researched. Under this information, it is considered that educated citizens and companies along with public institutions should cooperate to provide a nationwide cyber security. Consequently, it is defended that government should play an affective role to protect, educate, and guide governmental and private companies and citizens about cyber security. Accordingly, this thesis advises that cyber security should be put into the next development plan
Variational iteration method for fractional Davey-Stewartson equations
(2012) Yılmaz, Tuğba; Psikoloji
The Variational iteration method is a new and powerful method to solve both linear and nonlinear differential equations. The Variational iteration method was applied to the fractional Davey-Stewartson equations within the Caputo sense and approximate analytical solutions were obtained
Combined jpeg with dwt for image compression
(2012) Nabeel Dara, Omar
The main idea for this research is apply JPEG technique with enhanced quantization, on Discrete Wavelet Transformation (DWT). The DWT minimize the size of the image into convert the image into LL, HL, LH and HH sub-bands. The LL sub-band represents approximately original image, and then applied JPEG technique on the LL sub-band, then applied quantization to increase number of zeros. Finally apply Sequential Search Coding on the JPEG matrix for coding. The Sequential Search Coding work to convert group of data into single floating point value by using Key.
Hospital information system
(2012) Ramadhan, Fatimah
This thesis investigates hospital information system. The traditional systems were found to be completely manual and subject to numerous problems like duplication, loss of records, huge storage space and time consuming. A through study on the modern computerized hospital information systems is made and their main features discussed. A sample system is developed using design tools like ERDs, Microsoft access2007, and Microsoft visual basic 6.0. This system is convenient, makes it easy to share information and it is user friendly. The benefits of the computerization of health records management system is therefore emphasized in all hospitals.
Statistical based detection of DOS: (Denial of Service) attacks
(2012) Mohamad, Tariq Abed
Ağ trafiğindeki anomalilerin otomasyonlu tespiti önemli ve zorlayıcı bir görevdir. Ağın performansını etkileyen ana etkenler anomaliler ve izinsiz girişlerdir. Belirli internet sayfalarına ve ağ adreslerine erişimi azaltmayı ve engellemeyi amaçlayan izinsiz giriş yapanların tespiti birçok araştırma çalışmasının amacı olmuştur. Bu çalışmada, istatistiksel yöntemler kullanarak Hizmet Engelleme (DoS) saldırılarını tespit etmeye yönelik otomasyonlu bir sistem önermekteyiz. Bu alandaki ilgili araştırma çalışmaları gözden geçirilecektir ve amaç gelişmiş bir yöntemi tasarlamaktır. Programların tasarımında Visual Basic .Net kullanılacaktır. Önerilen program gerçek ortamda test edilecektir ve etkinliği doğrulanacaktır..
Fixed point theorems for cyclic contraction mappings
(2013) Balpetek, Güzin
In this thesis we do a survey about cyclic contractıon mappıngs on some special metric spaces and also we examine fixed point theorems for the cyclic contraction mappings
An investigation of electronic government transition case study in health: Hospitals in Erbil
(2013) Jamel, Ahmed Abdulrahman M.
Electronic government initiatives and public participation to them are among the indicators of today's development criteria of the countries. After consequent two wars, Iraq's current position in, for example, UN's e-government ranking is quite concerning and did not improve in recent years, either. In the preparation of this work, we are motivated with the fact that handling geographic data of the public facilities and resources are needed in most of the e-government projects; such examples are reported to the literature. Geographical information systems (GIS) provide most common tools not only to manage spatial data but also to integrate such type of data with nonspatial attributes of the features. With this background, this thesis proposes that establishing a working GIS in the health sector of Iraq would improve e-government applications. As the case study, investigating hospital locations in Erbil is chosen. The results show that setting up a GIS in Erbil does not require extreme technical knowledge; however, a strong limitation that obtaining clean and up-to-date data is an important concern. Although it is possible to establish a GIS in this sector, the starting point should not be acquiring hardware and software but to collect clean data from the field and to ensure that the data gets updated timely. Keywords: e-government, Iraq, Erbil, GIS, spatial data, hospital locations
Radon transform based robust non-blind watermarking
(2013) Sıddık, Omer
The purpose of digital watermarking is to attempt to solve the copyright ownership problem for all multimedia data which can be image, audio or video. The main objective of this thesis is to design a robust method of image watermarking for copy protection and copyright protection. The thesis consists principally from an overview of watermarking algorithm, types of watermarking, watermarking requirements. Further the watermarking techniques that are used in embedding. There are many watermarking techniques discussed in spatial domain and transform domains. The spatial domain watermarking algorithms still not resistant to lossy compression image, shed noise in the image and most operations of image processing. On the other hand, frequency domain watermarking techniques can embed more bits for watermark and the watermarked images are more robust to attack. Otherwise, in frequency domain we can embed more bits and more resistance to the attacks. However, comparing watermarking in DWT with watermarking in DCT, DWT has a number of advantages that led us to focus in discrete wavelet transform from other types of same domain. In this thesis, there are three different watermarking methods proposed in different levels DWT based on radon transform. All proposed methods are requires the presence of original image for watermark extraction. Each method is various from the other from the way of embedding the watermark, the number of watermarks that embedded and in which level the watermark embedded. Moreover, the watermarked image and attacked images measured by the PSNR that measuring the noise ratio in each image. Finally, we attempt to extract the watermark and attacked image, to determine the proportion of the deterioration that occurred after the attack or the embedding process.

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