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387139

Mean square convergent three points finite difference scheme for random partial differential equations

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Last updated: 05 Jan 2025

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Abstract

In this paper, the random finite difference method with three points is used in solving random partial differential equations problems mainly: random parabolic, elliptic and hyperbolic partial differential equations. The conditions of the mean square convergence of the numerical solutions are studied. The numerical solutions are computed through some numerical case studies.

DOI

org/10.1016/j.joems.2012.08.017

Keywords

Random partial differential equations (RPDEs), Mean square sense (m.s), Second order random variable, Random Finite Difference Scheme (RFDS)

Authors

First Name

Magdy

Last Name

El-Tawil

MiddleName

A.

Affiliation

Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt

Email

magdyeltawil@yahoo.com

City

-

Orcid

-

First Name

M.

Last Name

Sohaly

MiddleName

A.

Affiliation

Mansoura University, Faculty of Science, Mathematics Department, Mansoura, Egypt

Email

m_stat2000@yahoo.com

City

-

Orcid

-

Volume

20

Article Issue

3

Related Issue

51035

Issue Date

2012-10-01

Receive Date

2024-10-20

Publish Date

2012-10-01

Page Start

188

Page End

204

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 20_Issue 3_Pages 188-204.pdf

PDF . 435.3kB

Link

https://joems.journals.ekb.eg/article_387139.html

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https://joems.journals.ekb.eg/service?article_code=387139

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387,139

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Mean square convergent three points finite difference scheme for random partial differential equations

Details

Type

Article

Created At

21 Dec 2024