The main aim of this paper is to discuss the generalization of exponential integrators to differential equations of non-integer orders. Two methods of this kind are devised and the accuracy and stability are investigated. Some numerical experiments are presented to validate the theoretical findings.
Generalized exponential time differencing methods for fractional order problems / Garrappa, Roberto; Popolizio, Marina. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - STAMPA. - 62:3(2011), pp. 876-890. [10.1016/j.camwa.2011.04.054]
Generalized exponential time differencing methods for fractional order problems
Marina Popolizio
2011-01-01
Abstract
The main aim of this paper is to discuss the generalization of exponential integrators to differential equations of non-integer orders. Two methods of this kind are devised and the accuracy and stability are investigated. Some numerical experiments are presented to validate the theoretical findings.File in questo prodotto:
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