A new predictor-corrector method for the numerical solution of fractional differential equations

DOI

10.2991/icmmita-15.2015.303How to use a DOI?

Keywords

fractional differential equation; Caputo derivative; Adams method; predictor-corrector method; modified predictor-corrector method

Abstract

In this paper, first, a new predictor-corrector method( called the modified predictor-corrector method ) for the fractional differential equations is developed. And the new method can be formally viewed as a modification as the classical predictor-corrector method. Second, it is proved that the numerical accuracy of this new method is superior to that of the classical predictor-corrector method by two numerical examples. The comparison with the corresponding results demonstrates that the modified predictor-corrector method is more accurate than the classical predictor-corrector method when solving fractional differential equations numerically.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jimin Yu
AU  - Chen Wang
AU  - Weihong Wu
AU  - Xiaofei Huang
AU  - Rong Luo
PY  - 2015/11
DA  - 2015/11
TI  - A new predictor-corrector method for the numerical solution of fractional differential equations
BT  - Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications
PB  - Atlantis Press
SP  - 1638
EP  - 1641
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmita-15.2015.303
DO  - 10.2991/icmmita-15.2015.303
ID  - Yu2015/11
ER  -