Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm
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| Udgivet i: | PLoS One vol. 20, no. 1 (Jan 2025), p. e0316348 |
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Public Library of Science
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| Online adgang: | Citation/Abstract Full Text Full Text - PDF |
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| 022 | |a 1932-6203 | ||
| 024 | 7 | |a 10.1371/journal.pone.0316348 |2 doi | |
| 035 | |a 3155638641 | ||
| 045 | 2 | |b d20250101 |b d20250131 | |
| 084 | |a 174835 |2 nlm | ||
| 100 | 1 | |a Mahmoud Abd El-Hady | |
| 245 | 1 | |a Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm | |
| 260 | |b Public Library of Science |c Jan 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a This paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This study aims to develop a more precise representation using a fractional-order Riccati model. We present a Jacobi collocation method combined with the Jacobi-Newton algorithm to address the fractional Riccati initial value problem. This numerical method utilizes the characteristics of Jacobi polynomials to accurately approximate solutions to the nonlinear fractional differential equation. We obtain the requisite Jacobi operational matrices for the discretization of fractional derivatives, therefore converting the initial value problem into a system of algebraic equations. The convergence and precision of the proposed algorithm are meticulously evaluated by error and residual analysis. The theoretical findings demonstrate that the method attains high-order convergence rates, dependent on suitable criteria related to the fractional-order parameters and the solution’s smoothness. This study not only improves comprehension of RL circuit dynamics but also offers a solid numerical foundation for addressing intricate fractional differential equations. | |
| 653 | |a Mathematical analysis | ||
| 653 | |a Algorithms | ||
| 653 | |a Polynomials | ||
| 653 | |a Collocation methods | ||
| 653 | |a Circuits | ||
| 653 | |a Inductors | ||
| 653 | |a Error analysis | ||
| 653 | |a Convergence | ||
| 653 | |a Numerical methods | ||
| 653 | |a Boundary value problems | ||
| 653 | |a Order parameters | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Smoothness | ||
| 653 | |a RL circuits | ||
| 653 | |a Computer engineering | ||
| 653 | |a Methods | ||
| 653 | |a Fractional calculus | ||
| 653 | |a Differential equations | ||
| 653 | |a Mathematical models | ||
| 653 | |a Ordinary differential equations | ||
| 653 | |a Environmental | ||
| 700 | 1 | |a El-Gamel, Mohamed | |
| 700 | 1 | |a Homan Emadifar | |
| 700 | 1 | |a El-shenawy, Atallah | |
| 773 | 0 | |t PLoS One |g vol. 20, no. 1 (Jan 2025), p. e0316348 | |
| 786 | 0 | |d ProQuest |t Health & Medical Collection | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3155638641/abstract/embedded/J7RWLIQ9I3C9JK51?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3155638641/fulltext/embedded/J7RWLIQ9I3C9JK51?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3155638641/fulltextPDF/embedded/J7RWLIQ9I3C9JK51?source=fedsrch |