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386527

An accelerated solution for some classes of nonlinear partial diferential equations

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Last updated: 31 Dec 2024

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Abstract

In this paper, we apply an accelerated version of the Adomian decomposition method
for solving a class of nonlinear partial diferential equations. This version is a smart
recursive technique in which no diferentiation for computing the Adomian polynomi‑
als is needed. Convergence analysis of this version is discussed, and the error of the
series solution is estimated. Some numerical examples were solved, and the numerical
results illustrate the efectiveness of this version.

DOI

10.1186/s42787-021-00116-9

Keywords

Adomian decomposition method, Adomian polynomials, Nonlinear partial diferential equations

Authors

First Name

I. L.

Last Name

El‑Kalla

MiddleName

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Affiliation

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

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Orcid

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First Name

E. M.

Last Name

Mohamed

MiddleName

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Affiliation

Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt.

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City

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Orcid

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First Name

H. A. A.

Last Name

El‑Saka

MiddleName

-

Affiliation

Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt.

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Volume

29

Article Issue

1

Related Issue

50998

Issue Date

2021-01-01

Receive Date

2024-10-16

Publish Date

2021-01-01

Page Start

1

Page End

11

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 29_Issue 1_Pages 1-11.pdf

PDF . 1.7MB

Link

https://joems.journals.ekb.eg/article_386527.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386527

Order

386,527

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

An accelerated solution for some classes of nonlinear partial diferential equations

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Article

Created At

21 Dec 2024