Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

Roberto Garrappa

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 110, issue C, 96-112

Abstract: The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss computational aspects to implement efficient algorithms. Numerical experiments are provided to illustrate potential and limitations of the different methods under investigation.

Keywords: Fractional differential equations; Multistep methods; Trapezoidal method; Stability; Computational aspects (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:110:y:2015:i:c:p:96-112

DOI: 10.1016/j.matcom.2013.09.012

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