Solving Fractional Partial Differential Equations with Corrected Fourier Series Method

Solving Fractional Partial Differential Equations with Corrected Fourier Series Method

The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.661-665
Hauptverfasser: Zainal, Nor Hafizah, Kiliçman, Adem
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Differential equations, Partial
Fourier analysis
Fourier transforms
Methods
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Zusammenfassung:The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/958931