Picard, Adomian and predictor–corrector methods for an initial value problem of arbitrary (fractional) orders differential equation - Egyptian Knowledge Bank

387149

Picard, Adomian and predictor–corrector methods for an initial value problem of arbitrary (fractional) orders differential equation

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Last updated: 31 Dec 2024

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Abstract

We study the two analytical methods, the classical method of successive approxima-
tions (Picard method), Adomian decomposition method (ADM) see (Abbaoui and Cherruault, 1994;
Adomian et al., 1992; Adomian, 1995) [1–3] and the (numerical method) predictor corrector method
(PECE) for an initial value problem of arbitrary (fractional) orders differential equation (FDE). The
existence and uniqueness of the solution will be proved and the convergence will be discussed for each
method. Some examples will be studied.

DOI

10.1016/j.joems.2015.01.001

Keywords

Fractional differential equation, Picard method, Adomian Method, Predictor corrector method, Convergence analysis, Error analysis

Authors

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First Name

Last Name

Mahmoud

MiddleName

Affiliation

Zagazig University, Faculty of Science, Egypt

Email

City

Orcid

Volume

Article Issue

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

165

Page End

170

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 165-170.pdf

PDF . 340.3kB

Link

https://joems.journals.ekb.eg/article_387149.html

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https://joems.journals.ekb.eg/service?article_code=387149

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387,149

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

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