Publication:
Non-Polynomial Spline Method for Fractional Diffusion Equation

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Date

2012-11

Authors

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

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Volume Title

Publisher

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

Citation

URI

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
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Uluslararası Ticaret ve Finansman Bölümü / Department of International Trade and Finance
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