Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code

Abstract

In this paper we describe the efficient numerical implementation of Fractional HBVMs, a class of methods recently introduced for solving systems of fractional differential equations. The reported arguments are implemented in the Matlab code fhbvm, which is made available on the web. An extensive experimentation of the code is reported, to give evidence of its effectiveness.

26 pages, 6 figures

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• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
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Cited by in corpus (3)

• Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code
• Analysis and implementation of collocation methods for fractional differential equations
• A shooting-Newton procedure for solving fractional terminal value problems