Open AccessNumerical solution for the model of RLC circuit via the fractional derivative without singular kernel
Author(s) -
Abdon Atangana,
Juan J. Nieto
Publication year - 2015
Publication title -
advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/1687814015613758
Subject(s) - rlc circuit , mathematics , fractional calculus , derivative (finance) , stability (learning theory) , numerical analysis , mathematical analysis , order (exchange) , kernel (algebra) , numerical stability , work (physics) , physics , computer science , pure mathematics , quantum mechanics , finance , machine learning , thermodynamics , voltage , economics , capacitor , financial economics
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
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