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381141

Adomian solution of a nonlinear quadratic integral equation

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Last updated: 31 Dec 2024

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Abstract

We are concerned here with a nonlinear quadratic integral equation (QIE). The existence
of a unique solution will be proved. Convergence analysis of Adomian decomposition method
(ADM) applied to these type of equations is discussed. Convergence analysis is reliable enough
to estimate the maximum absolute truncated error of Adomian's series solution. Two methods
are used to solve these type of equations; ADM and repeated trapezoidal method. The obtained
results are compared.

DOI

10.1016/j.joems.2012.11.001

Keywords

Nonlinear quadratic integral equation, Banach space, Fixed point theorem, Convergence analysis, Adomian Method, Repeated trapezoidal method

Authors

First Name

E.A.A.

Last Name

Ziada

MiddleName

-

Affiliation

Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt

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Volume

21

Article Issue

1

Related Issue

50461

Issue Date

2013-04-01

Receive Date

2024-09-23

Publish Date

2013-04-01

Page Start

52

Page End

56

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 1_Pages 52-56.pdf

PDF . 296.4kB

Link

https://joems.journals.ekb.eg/article_381141.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381141

Order

381,141

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

Adomian solution of a nonlinear quadratic integral equation

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Type

Article

Created At

21 Dec 2024