File Download
There are no files associated with this item.
SFX Link
- Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)
- Jang, Bongsoo
- Computational Mathematical Science Lab.
Views & Downloads
Detailed Information
Cited time in 
Cited time in 
Cited time in
Metadata Downloads
Fast Predictor-Corrector method for solving Caputo and Atangana-Baleanu fractional differential equations
- Author(s)
- Jang, Bongsoo, Lee, Sehyun
- Issued Date
- 2019-07-15
- Citation
- 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)
- Abstract
-
In this work, we propose a new effective Predictor-Corrector (PC) method to solve Caputo and A-B FDEs by using the kernel
approximation of fractional operators. The proposed method only requires O(N) computational costs, while the conventional method does O(N2). Also, it achieves a uniform accuracy order regardless of the value of fractional order. Several numerical examples and applications are demonstrated to confirm the convergence rate and the computational cost reduction.
- Publisher
- International Council for Industrial and Applied Mathematics
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.