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24752

THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE

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Last updated: 04 Jan 2025

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Abstract

This work is concerned with the numerical treatment of initial-boundary value problem for linear parabolic equations by a small parameter with the time derivative term. This problem is reduced to a stiff system of ODEs in time.The resulting system is solved by applying the restrictive Pade approximation of matrix exponentials. Numerical results are given and the method gives better results compared with the classical Pade approximation treatments.

DOI

10.21608/asat.2001.24752

Keywords

Pade approximation, restrictive Pade approximation, exponential matrix, singularly perturbed equation, finite difference and parabolic 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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First Name

AMAL

Last Name

ELBIETAR

MiddleName

A.

Affiliation

Dept. of Math. Faculty of Science, Benha University, Benha, Egypt.

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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

Article File

ASAT_Volume 9_Issue ASAT Conference, 8-10 May 2001_Pages 1-9.pdf

PDF . 976.3kB

Link

https://asat.journals.ekb.eg/article_24752.html

Detail API

https://asat.journals.ekb.eg/service?article_code=24752

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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

THE RESTRICTIVE PACE APPROXIMATION FOR THE SOLUTION OF SINGULARLY PERTURBED PARABOLIC PDE

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Article

Created At

22 Jan 2023