The use of explicit methods in the numerical treatment of differential equations of fractional order is an area not yet widely investigated. In this paper stability properties of some multistep methods of explicit type are investigated and new methods with larger intervals of stability are proposed. Some numerical experiments are presented in order to validate theoretical results. (C) 2008 Elsevier B.V. All rights reserved.
Explicit methods for fractional differential equations and their stability properties
GARRAPPA, Roberto
2009-01-01
Abstract
The use of explicit methods in the numerical treatment of differential equations of fractional order is an area not yet widely investigated. In this paper stability properties of some multistep methods of explicit type are investigated and new methods with larger intervals of stability are proposed. Some numerical experiments are presented in order to validate theoretical results. (C) 2008 Elsevier B.V. All rights reserved.File in questo prodotto:
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