Matematik ve Bilgisayar Bölümü Tezleri

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Browsing Matematik ve Bilgisayar Bölümü Tezleri by Author "Al Retha, Ahmed"

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    Citation Count: AL RETHA, A. (2015). Fredholm type integral equations. Yayımlanmamış yüksek lisans tezi. Ankara: Çankaya Üniversitesi Fen Bilimleri Enstitüsü
    Fredholm type integral equations
    (2015-04) Al Retha, Ahmed; Çankaya Üniversitesi, Fen Bilimleri Enstitüsü, Matematik ve Bilgisayar Bölümü
    The aim of this thesis is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations. Moreover, in order to study the convergence between the numerical solution and the exact solution, we applied the Newton-Kantorovich method as a model to find a numerical solution for a special type of Fredholm Integral Equation and compared the results with the exact solution. The results showed the accuracy of the numerical result and proximity of the exact results, thereby proving the effectiveness and simplicity of the Newton-Kantorovich method.