Publication:
Non-Polynomial Spline Method for Fractional Diffusion Equation

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Authors

Çağlar, Süleyman Hikmet
Çağlar, Hatice Nazan
Uçar, Mehmet Fatih
Akkoyunlu, Canan

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Date

2012-11

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Article

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Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa

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Abstract

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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Keywords

Fractional diffusion equation, Caputo fractional derivative, non-polynomial spline, decomposition method, Fraksiyonel difüzyon denklemi, Caputo kesirli türevi, olmayan polinom spline, ayrışma yöntemi

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http://hdl.handle.net/11413/1476

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Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science
Girişimcilik Bölümü / Department of Entrepreneurship
Scopus İndeksli Yayınlar / Scopus Indexed Publications
Uluslararası Ticaret ve Finansman Bölümü / Department of International Trade and Finance
WoS İndeksli Yayınlar / WoS Indexed Publications

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