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24760

RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

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Last updated: 04 Jan 2025

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Abstract

This paper is concerned with the numerical treatment of the first-order hyperbolic partial differential equation by small parameter with the time derivative term. This problem is reduced to stiff system of ODE, in time. The resulting system is solved by the restrictive Pad& approximation. The stability condition and the en-or upper bound are introduced. The numerical results are given and the considered method gives better results compared with the classical advantages of the considered method compared with the classical Pade' approximation.

DOI

10.21608/asat.2001.24760

Keywords

Pade' approximation, Restrictive Pade' approximation, finite difference and hyperbolic partial differential equations

Authors

First Name

Hassan

Last Name

Ismail

MiddleName

N. A.

Affiliation

Benha Higher Institute of Technology, Benha, Egypt.

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Orcid

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First Name

Adel

Last Name

Elmekkawy

MiddleName

Y. H.

Affiliation

Dept. of Math. Faculty of Education, Ain Shams University.

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Volume

9

Article Issue

ASAT Conference, 8-10 May 2001

Related Issue

4547

Issue Date

2001-05-01

Receive Date

2019-01-15

Publish Date

2001-05-01

Page Start

1

Page End

9

Print ISSN

2090-0678

Online ISSN

2636-364X

Link

https://asat.journals.ekb.eg/article_24760.html

Detail API

https://asat.journals.ekb.eg/service?article_code=24760

Order

6

Type

Original Article

Type Code

737

Publication Type

Journal

Publication Title

International Conference on Aerospace Sciences and Aviation Technology

Publication Link

https://asat.journals.ekb.eg/

MainTitle

RESTRICTIVE PADE' APPROXIMATION FOR SOLVING SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

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Article

Created At

22 Jan 2023