İktisadi İdari Bilimler Fakültesi / Faculty of Economics and Administrative Sciences

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Browsing İktisadi İdari Bilimler Fakültesi / Faculty of Economics and Administrative Sciences by Author "Akkoyunlu, Canan"

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    Non-Polynomial Spline Method for Fractional Diffusion Equation
    (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11) Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Uçar, Mehmet Fatih; Akkoyunlu, Canan; TR110809; TR114368; TR107148; TR113376
    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 the method. The numerical results are obtained for different values (n) of equation. An effective and easy-to-use method for solving such equations is needed.
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    Non-Polynomial Spline Method Of A Non-Linear System Of Second-Order Boundary Value Problems
    (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-04) Çağlar, Hikmet; Çağlar, Nazan; Akkoyunlu, Canan; TR114368; TR110809; TR113376
    The non-polynomial spline method is proposed to solve a non-linear system of the second-order boundary value problems (BVPs). Some numerical results are given to demostrate the validity and applicability of the presented method. Results obtained by the method indicate the method is simple and effective.
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    The numerical solution of the singular two-point boundary value problems by using non-polynomial spline functions
    (2010) Çağlar, Hatice Nazan; Çağlar, Süleyman Hikmet; Dündar, Durmuş; Akkoyunlu, Canan; 110809; 114368; 113376
    The non-polynomial spline method is proposed to solve a singular boundary value problems. Some model problems are solved and the numerical results are compared with B-spline approximation and the exact solution. Results obtained by the method indicate the method is simple and effective.