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

✍ Scribed by Neville J. Ford; Joseph A. Connolly

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 514 KB
Volume: 229
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.04.003

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✦ Synopsis

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.

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