Application of the Explicit Euler Method for Numerical Analysis of a Nonlinear Fractional Oscillation Equation

Application of the Explicit Euler Method for Numerical Analysis of a Nonlinear Fractional Oscillation Equation

In this paper, a numerical analysis of the oscillation equation with a derivative of a fractional variable Riemann–Liouville order in the dissipative term, which is responsible for viscous friction, is carried out. Using the theory of finite-difference schemes, an explicit finite-difference scheme (...

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Bibliographic Details
Main Authors: Valentine Aleksandrovich Kim, Roman Ivanovich Parovik
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Fractal and Fractional
Subjects:
fractional Duffing oscillator
stability
convergence
computational accuracy
explicit finite difference scheme (explicit Euler ’s method)
amplitude–frequency characteristic
Online Access:https://www.mdpi.com/2504-3110/6/5/274

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https://www.mdpi.com/2504-3110/6/5/274

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