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EnglishIn this paper we consider the numerical solution of fractional differential equations by means of m-step recursions. The construction of such formulas can be obtained in many ways. Here we study a technique based on the rational approximation of the generating functions of fractional backward differentiation formulas (FBDFs). Accurate approximations lead to the definition of methods which simulate the underlying FBDF, with important computational advantages. Numerical experiments are presented.
| Titolo: | On the construction and properties of m-step methods for FDEs |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Stato di pubblicazione: | Pubblicato |
| Rivista: | |
| Abstract: | In this paper we consider the numerical solution of fractional differential equations by means of m-step recursions. The construction of such formulas can be obtained in many ways. Here we study a technique based on the rational approximation of the generating functions of fractional backward differentiation formulas (FBDFs). Accurate approximations lead to the definition of methods which simulate the underlying FBDF, with important computational advantages. Numerical experiments are presented. |
| Handle: | http://hdl.handle.net/11368/2837022 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/140973505 |
| URL: | http://epubs.siam.org/doi/abs/10.1137/140973505 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| sisc15.pdf | Articolo | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
| sisc_rev_3.pdf | post print | Bozza finale post-referaggio (post-print) | Digital Rights Management non definito | Open Access Visualizza/Apri |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2837022
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