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    Öğe
    Reproducing kernel functions for linear tenth-order boundary value problems
    (E D P Sciences, 2018) Akgul, Ali; Akgul, Esra Karatas; Orcan, Baris; Inc, Mustafa
    Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems. This paper gives some reproducing kernel functions to find approximate solutions of the tenth-order boundary value problems (BVPs). These reproducing kernel functions are very important in the reproducing kernel Hilbert space method.
  • [ X ]
    Öğe
    Solving Higher-Order Fractional Differential Equations by Reproducing Kernel Hilbert Space Method
    (Amer Scientific Publishers, 2018) Akgul, Esra Karatas; Orcan, Baris; Akgul, Ali
    In this work, we apply reproducing kernel Hilbert space method to investigate higher-order fractional differential equations. We used a bounded linear operator and some useful reproducing kernel functions to get accurate results. We present an experiment to prove how real our theory can be performed in the applications.