Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel-Reference-Cited by-同舟云学术

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

Published:2015-10-01 Issue:10 Volume:7 Page:168781401561375
ISSN:1687-8140
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Atangana Abdon¹,Nieto Juan Jose²³

Affiliation:

1. Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa

2. Departamento de Análise Matemática, Facultad de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

3. Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

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.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1687814015613758

Reference10 articles.

1. Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus

2. Preface

3. Convergence and stability analysis of a novel iteration method for fractional biological population equation

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