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. (C) 2011 Elsevier Ltd. All rights reserved.
Generalized exponential time differencing methods for fractional order problems
GARRAPPA, Roberto;
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. (C) 2011 Elsevier Ltd. All rights reserved.File in questo prodotto:
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