@article{Singh2024, 
author = {Jagdev Singh and Jitendra Kumar and Devendra Kumar and Dumitru Baleanu},
title = {A reliable numerical algorithm for fractional Lienard equation arising in oscillating circuits},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19557-19568},
keywords = {fractional Lienard equation, operational matrix of differentiation, Vieta Lucas polynomials, collocation method, error analysis},
url = {https://www.sciopen.com/article/10.3934/math.2024954},
doi = {10.3934/math.2024954},
abstract = {This work presents a numerical approach for handling a fractional Lienard equation (FLE) arising in an oscillating circuit. The scheme is based on the Vieta Lucas operational matrix of the fractional Liouville-Caputo derivative and the collocation method. This methodology involves a systematic approach wherein the operational matrix aids in expressing the fractional problem in terms of non-linear algebraic equations. The proposed numerical approach utilizing the operational matrix method offers a vital solution framework for efficiently tackling the fractional Lienard equation, addressing a key challenge in mathematical modeling. To analyze the fractional order system, we derive an approximate solution for the FLE. The solutions are explained graphically and in tabular form.}
}