277270

Analytical Solution of a System of Ordinary ‎Differential Equations

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Applied Mathematics

Abstract

In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear system of ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some numerical examples are solved.

DOI

10.21608/njbs.2022.277270

Keywords

Adomian Method, Existence, Uniqueness, error analysis.‎

Authors

First Name

E.

Last Name

Ziada

MiddleName

A. A.

Affiliation

Nile higher institute for engineering and technology

Email

eng_emanziada@yahoo.com

City

Domitta

Orcid

0000-0003-2752-7251

Volume

2

Article Issue

1

Related Issue

38526

Issue Date

2022-12-01

Receive Date

2022-12-30

Publish Date

2022-12-01

Page Start

11

Page End

20

Print ISSN

2805-2323

Online ISSN

2805-2331

Link

https://njbs.journals.ekb.eg/article_277270.html

Detail API

https://njbs.journals.ekb.eg/service?article_code=277270

Order

277,270

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

Analytical Solution of a System of Ordinary ‎Differential Equations

Details

Type

Article

Created At

23 Jan 2023