Picard and Adomian Solutions of RLC Electrical Circuits

This study focuses on the solution of RLC series circuits. We use three methods to solve them: ADM, PM, and Laplace. The existence and uniqueness of the solution are proved. The convergence of the ADM and PM solutions are discussed. Then, numerical examples are solved to compare the results of the three methods.

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Publication Details

Journal
Nile Journal of Basic Science /Nile Journal of Basic Science
Published
2024-12-01
DOI
https://doi.org/10.21608/njbs.2024.406812
Primary Topic
Matrix Theory and Algorithms
Type
article
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0.00
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article

Picard and Adomian Solutions of RLC Electrical Circuits

F I. I. ‎ Mansy, Salihu Ibrahim
Nile Journal of Basic Science /Nile Journal of Basic Science
Matrix Theory and Algorithms
article

Picard and Adomian Solutions of RLC Electrical Circuits

F I. I. ‎ Mansy, Salihu Ibrahim
article en

Abstract

This study focuses on the solution of RLC series circuits. We use three methods to solve them: ADM, PM, and Laplace. The existence and uniqueness of the solution are proved. The convergence of the ADM and PM solutions are discussed. Then, numerical examples are solved to compare the results of the three methods.

Nile Journal of Basic Science /Nile Journal of Basic ScienceVol. 4(1)
Higher Institute of Engineering (EG)
Affordable and clean energy
Openalex Percentile: Top 69%
Matrix Theory and Algorithms
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Picard and Adomian Solutions of RLC Electrical Circuits — F I. I. ‎ Mansy, Salihu Ibrahim · Nile Journal of Basic Science /Nile Journal of Basic Science (2024) | TGRS Research Map | TGRS