Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations

Authors:
Neville J. Ford;Joseph A. Connolly
Affiliations:
Mathematics Department, University of Chester, Parkgate Road, Chester, CH1 4BJ, UK;Mathematics Department, University of Chester, Parkgate Road, Chester, CH1 4BJ, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

We give a comparison of the efficiency of three alternative decomposition schemes for the approximate solution of multi-term fractional differential equations using the Caputo form of the fractional derivative. The schemes we compare are based on conversion of the original problem into a system of equations. We review alternative approaches and consider how the most appropriate numerical scheme may be chosen to solve a particular equation.