Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation

Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation

The article proposes a nonlocal explicit finite-difference scheme for the numerical solution of a nonlinear, ordinary differential equation with a derivative of a fractional variable order of the Gerasimov–Caputo type. The questions of approximation, convergence, and stability of this scheme are stu...

Full description

Bibliographic Details
Main Authors: Roman Parovik, Dmitriy Tverdyi
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematical and Computational Applications
Subjects:
fractional variable order derivative
explicit finite-difference scheme
stability
convergence
computational accuracy
Online Access:https://www.mdpi.com/2297-8747/26/3/55

Internet

https://www.mdpi.com/2297-8747/26/3/55

Similar Items