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406812

Picard and Adomian Solutions of RLC Electrical Circuits

Article

Last updated: 01 Feb 2025

Subjects

-

Tags

Applied Mathematics

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.

DOI

10.21608/njbs.2024.406812

Keywords

RLC circuit, Adomian decomposition method, existence and uniqueness, Picard method, ‎convergence, error estimation.‎

Authors

First Name

F

Last Name

Mansy

MiddleName

I. I. ‎

Affiliation

Nile Higher Institute for Engineering and Technology, Mansoura, Egypt.‎

Email

fatmamansy99@gmail.com

City

-

Orcid

-

First Name

S.

Last Name

Ibrahim

MiddleName

R. E.

Affiliation

Misr Higher Institute for Commerce and Computers, Mansoura, Egypt.‎

Email

-

City

El Mansoura

Orcid

-

Volume

4

Article Issue

1

Related Issue

53265

Issue Date

2024-12-01

Receive Date

2025-01-23

Publish Date

2024-12-01

Page Start

1

Page End

12

Print ISSN

2805-2323

Online ISSN

2805-2331

Link

https://njbs.journals.ekb.eg/article_406812.html

Detail API

http://journals.ekb.eg?_action=service&article_code=406812

Order

1

Type

Original Article

Type Code

2,143

Publication Type

Journal

Publication Title

Nile Journal of Basic Science

Publication Link

https://njbs.journals.ekb.eg/

MainTitle

Picard and Adomian Solutions of RLC Electrical Circuits

Details

Type

Article

Created At

01 Feb 2025