Browsing by Author "Çağlar, Süleyman Hikmet"
Now showing items 1-20 of 31
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A Comparative Study of Smoothing a Vehicle s Trajectory which is Calculated by an Evolutionary Algorithm
Şahingöz, Özgür Koray; Buran, Bayram Ali; Çağlar, Süleyman Hikmet (2016-06)Determining a vehicle’s trajectory is a complex and hard to solve type problem in the literature and it is identified as a NP-Hard optimization problem which is studied in different engineering disciplines such as ... -
A microsoft visual Basic software for B-Spline solution of the one-dimensional heat equation
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Özer, Mehmet; Cuhacı, Levent (2008) -
A non polynomial spline solution of the one-dimensional wave equation subject to an integral conservation condition
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Yılmaz, Serhat; İşeri, Müge (2010)Hyperbolic partial differential equations with an integral condition serve as models in many branches of physics and technology. Recently,much attention has been expended in studying these equations and there has been a ... -
A numerical method for calculation of the equivalence volume in potentiometric titrations
Çağlar, Süleyman Hikmet; Bozdoğan, Abdürrezzak Emin; Çağal, Behiç (1988-02) -
Applications of Theories of Compelexity and Chaos to Gold Prices
Çağlar, Süleyman Hikmet (2018)Chaos theory is considered as a new subject in understanding non linear system’s dynamic behaviours. Chaos theorem is used in several fields such as mathematics, physics, chemistry as well as in finance and economics ... -
B-Spline solition of linear hyperbolic partial differential equations
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet (2010) -
B-Spline Solution and the Chaotic Dynamics of Troesch's Problem
Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions ... -
B-Spline Solution and the Chaotic Dynamicsof Troesch’s Problem
Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (2013) -
B-Spline Solution for a Convection-Diffusion Equation
Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)This paper is concerned with the numerical solution of the convection diffusion problems. A family of B-spline methods has been considered for the numerical solution of the problems. The results showed that the present ... -
B-Spline Solution for a Convection-Diusion Equation
Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (2013) -
B-Spline solution of linear hyperbolic partial differential equations
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Dündar, Durmuş (2011)Second-order linear hyperbolic equations are solved by using B-spline method . The numerical solution of the equations are discussed and illustrated with an example. Numerical results reveal that B-spline method ... -
B-Spline solution of linear hyperbolic partial differential equations
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet (2010) -
Fifth-degree B-spline solution for nonlinear fourth-orderproblems with separated boundary conditions
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Özer, Mehmet (2007) -
Fifth-degree B-spline solution for nonlinear fourth-orderproblems with separated boundary conditions
Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Özer, Mehmet (2007) -
Kısmi Türevli Kesirli Mertebeden Lineer Schrödinger Denklemlerinin Sayısal Çözümleri
Er, Neslihan Fatma (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2015-05)Bu tezde kısmi türevli zaman-kesirli mertebeden lineer Scrödinger denklemi ile ifade edilen problem ele al nm ışt r. Problem, Caputo kesirli türev tanı mı nı n uygulanmas yla tamsay ılı mertebeden lineer Scrödinger denklemi ... -
Kısıtlara bağlı matematiksel modelleme ile insansız hava aracı için yumuşatılmış rota planlaması
Buran, Bayram Ali (İstanbul Kültür Üniversitesi / Lisansüstü Eğitim Enstitüsü / Matematik ve Bilgisayar Bilimleri Anabilim Dalı, 2019)Bu tezde, İnsansız Hava Aracı (İHA) için matematiksel rota planlama yöntemleri incelenmiştir. Bir İHA'nın önceden belirlenen kontrol noktalarını ziyaret etmesi ve yeniden başlangıç noktasına geri dönülmesi problemi İHA'nın ... -
Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation
Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2012-01)In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ... -
Non-Polynomial Spline Method for Fractional Diffusion Equation
Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Uçar, Mehmet Fatih; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11)The one-dimensional fractional diffusion equation is studied systematically using the non-polynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ... -
Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation
Çağlar, Süleyman Hikmet; Uçar, Mehmet Fatih (Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany, 2013)A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ... -
Non-polynomial Spline Method for the Solution of Non-linear Burgers’ Equation
Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (2010)