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260124

Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

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Last updated: 24 Dec 2024

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Abstract

In this work we use an efficient technique based on Adomian Decomposition Method (ADM) and Laplace Transform to solve non-linear integro-differential equations. This method effectively handles non-linear integro differential equations of the first and the second kind. Finally, some examples will be discussed to support the proposed method.

DOI

10.21608/erj.2022.260124

Keywords

Laplace Adomian decomposition method, Accelerated Adomian polynomials, Traditional Adomian Polynomials, Integro-differential equations

Authors

First Name

Ahmed

Last Name

Y. Sayed

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Affiliation

Physics and Engineering Mathematics Department, Faculty of Engineering, Mattaria, Helwan University, Egypt

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First Name

Emad

Last Name

A. Sayed

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Affiliation

Physics and Engineering Mathematics Department, Faculty of Engineering, Mattaria, Helwan University, Egypt

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Orcid

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First Name

Mahmoud

Last Name

H. Rashwan

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Affiliation

Physics and Engineering Mathematics Department, Faculty of Engineering, Mattaria, Helwan University, Egypt

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First Name

I.

Last Name

L. El-Kalla

MiddleName

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Affiliation

Physics and Engineering Mathematics Department, Faculty of Engineering , Mansoura University , Egypt.

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Volume

175

Article Issue

0

Related Issue

36532

Issue Date

2022-09-01

Receive Date

2022-09-18

Publish Date

2022-09-01

Page Start

371

Page End

385

Print ISSN

1110-5615

Article File

ERJ_Volume 175_Issue 0_Pages 371-385.pdf

PDF . 454.4kB

Link

https://erj.journals.ekb.eg/article_260124.html

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https://erj.journals.ekb.eg/service?article_code=260124

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Original Article

Type Code

998

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Journal

Publication Title

Engineering Research Journal

Publication Link

https://erj.journals.ekb.eg/

MainTitle

Using An accelerated Technique of The Laplace-Adomian Decomposition Method in Solving A class of Non-linear Integro-differential Equations

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Article

Created At

22 Jan 2023