An extension of the spectral Tau method for numerical solution of multi-order fractional differential equations with convergence analysis

The main purpose of this paper is to provide an efficient numerical approach for the fractional differential equations (FDEs) based on a spectral Tau method. An extension of the operational approach of the Tau method with the orthogonal polynomial bases is proposed to convert FDEs to its matrix–vect...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2011, Vol.61 (1), p.30-43
Hauptverfasser:	Ghoreishi, F., Yazdani, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Caputo derivative Computer simulation Convergence Derivatives Differential equations Fractional differential equations Mathematical models Multiplication Norms Operational approach to the Tau method Representations Spectra Tau method
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