Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications

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

Authors
Jimin Yu, Chen Wang, Weihong Wu, Xiaofei Huang, Rong Luo
Corresponding Author
Jimin Yu
Available Online November 2015.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications
Series
Advances in Computer Science Research
Publication Date
November 2015
ISBN
978-94-6252-120-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmmita-15.2015.303How to use a DOI?
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/).

Cite this article

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  - https://doi.org/10.2991/icmmita-15.2015.303
ID  - Yu2015/11
ER  -