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

被引：312

作者：

Atangana, Abdon ^{[1
]}

Jose Nieto, Juan ^{[2
,3
]}

机构：

[1] Univ Orange Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa

[2] Univ Santiago de Compostela, Fac Math, Dept Math Anal, Santiago De Compostela, Spain

[3] King Abdulaziz Univ, Fac Sci, Jeddah 21413, Saudi Arabia

来源：

ADVANCES IN MECHANICAL ENGINEERING | 2015年 / 7卷 / 10期

关键词：

Fractional derivative without singular kernel; numerical approximation; RLC circuit; stability analysis;

D O I：

10.1177/1687814015613758

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：1 / 7

页数：7

共 10 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0

[2]

[Anonymous], 2015, Progress Fract. Diff. Appl, DOI DOI 10.12785/PFDA/010201

[3]

[Anonymous], 2013, ABSTR APPL ANAL, DOI DOI 10.1155/2013/769102

[4] Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel [J].