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277266

Solution of Ordinary Differential Equations Using Adomian Decomposition Method

Article

Last updated: 23 Jan 2023

OverviewSimilar Items

Subjects

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Tags

Applied Mathematics

Abstract

In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear 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 applications are solved such as relaxation-oscillation equation.

DOI

10.21608/njbs.2022.277266

Keywords

Adomian Method, Existence, Uniqueness, Error analysis, relaxation-oscillation equation.‎

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

1

Page End

10

Print ISSN

2805-2323

Online ISSN

2805-2331

Article File

NJBS_Volume 2_Issue 1_Pages 1-10.pdf

PDF . 649.2kB

Link

https://njbs.journals.ekb.eg/article_277266.html

Detail API

https://njbs.journals.ekb.eg/service?article_code=277266

Order

277,266

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

-

Details

Type

Article

Created At

23 Jan 2023