Explicit Finite-Difference Scheme for the Numerical Solution of the Model Equation of Nonlinear Hereditary Oscillator with Variable-Order Fractional Derivatives

The paper deals with the model of variable-order nonlinear hereditary oscillator based on a numerical finite-difference scheme. Numerical experiments have been carried out to evaluate the stability and convergence of the difference scheme. It is argued that the approximation, stability and convergen...

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Bibliographic Details
Main Author: Parovik Roman I.
Format: Article
Language:English
Published: Polish Academy of Sciences 2016-09-01
Series:Archives of Control Sciences
Subjects:
Online Access:http://www.degruyter.com/view/j/acsc.2016.26.issue-3/acsc-2016-0023/acsc-2016-0023.xml?format=INT