Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

The numerical approximation of the Caputo–Fabrizio fractional derivative with fractional order between 1 and 2 is proposed in this work. Using the transition from ordinary derivative to fractional derivative, we modified the RLC circuit model. The Crank–Nicolson numerical scheme was used to solve th...

Full description

Saved in:
Bibliographic Details
Published inAdvances in mechanical engineering Vol. 7; no. 10; p. 1
Main Authors Atangana, Abdon, Nieto, Juan Jose
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.10.2015
Sage Publications Ltd
SAGE Publishing
Subjects
RLC circuit
numerical approximation
stability analysis
Fractional derivative without singular kernel
Online AccessGet full text

Cover

More Information
Summary:The numerical approximation of the Caputo–Fabrizio fractional derivative with fractional order between 1 and 2 is proposed in this work. Using the transition from ordinary derivative to fractional derivative, we modified the RLC circuit model. The Crank–Nicolson numerical scheme was used to solve the modified model. We present the stability analysis of the numerical scheme for solving the modified equation and some numerical simulations for different values of the order of derivation.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-General Information-1
content type line 14
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814015613758