Explicit methods for fractional differential equations and their stability properties

Authors:
Luciano Galeone;Roberto Garrappa
Affiliations:
University of Bari, Department of Mathematics, Italy;University of Bari, Department of Mathematics, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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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.