1. A reliable numerical algorithm for fractional Lienard equation arising in oscillating circuits.
- Author
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Singh, Jagdev, Kumar, Jitendra, Kumar, Devendra, and Baleanu, Dumitru
- Subjects
MATRICES (Mathematics) ,ALGEBRAIC equations ,NONLINEAR equations ,COLLOCATION methods ,EQUATIONS - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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