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Some aspects of the numerical analysis of a fractional duffing oscillator with a fractional variable order derivative of the Riemann-Liouville type.
- Source :
-
AIP Conference Proceedings . 6/22/2022, Vol. 2467 Issue 1, p1-6. 6p. - Publication Year :
- 2022
-
Abstract
- In this paper, we consider some aspects of the numerical analysis of the mathematical model of fractional Duffing with a derivative of variable fractional order of the Riemann-Liouville type. Using numerical methods: an explicit finite-difference scheme based on the Grunwald-Letnikov and Adams-Bashford-Moulton approximations (predictor-corrector), the proposed numerical model is found. These methods have been verified with a test case. It is shown that the predictor-corrector method has a faster convergence than the method according to the explicit finite-difference scheme. For these schemes, using Runge's rule, estimates of the computational accuracy were made, which tended to unity with an increase in the number of calculated grid nodes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2467
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 157587863
- Full Text :
- https://doi.org/10.1063/5.0092344