Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type

Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type

The article considers an implicit finite-difference scheme for the Duffing equation with a derivative of a fractional variable order of the Riemann–Liouville type. The issues of stability and convergence of an implicit finite-difference scheme are considered. Test examples are given to substantiate...

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Bibliographic Details
Main Authors: Valentine Aleksandrovich Kim, Roman Ivanovich Parovik, Zafar Ravshanovich Rakhmonov
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
Duffing oscillator
Runge rule
Riemann-Liouville operator
Grunwald-Letnikov operator
amplitude-frequency response
phase-frequency response
Online Access:https://www.mdpi.com/2227-7390/11/3/558

Internet

https://www.mdpi.com/2227-7390/11/3/558

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