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170973

Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part II: Application to a Nonlinear Case.

Article

Last updated: 04 Jan 2025

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Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

A solution methodology, based on the finite integral transform technique, appropriate for solving nonlinear problems of heat diffusion was developed by the author in previous work [1,2]. 
In this paper, the method is applied to solve the heat diffusion problem in a finite region subject to nonlinear boundary conditions due to radiation exchange at the interface according to the fourth power law. The results obtained form this analytic Solution are compared with those obtained from a numerical solution developed using an explicit finite difference method. 

DOI

10.21608/bfemu.2021.170973

Authors

First Name

Bishri

Last Name

Abdel-Hamed

MiddleName

-

Affiliation

Assistant Professor of Applied Mathematics and Physical Sciences Engineering Department, Mansoura University, Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

15

Article Issue

1

Related Issue

24850

Issue Date

1990-06-01

Receive Date

1990-04-26

Publish Date

2021-05-20

Page Start

12

Page End

21

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 15_Issue 1_Pages 12-21.pdf

PDF . 85.9kB

Link

https://bfemu.journals.ekb.eg/article_170973.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=170973

Order

20

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part II: Application to a Nonlinear Case.

Details

Type

Article

Created At

22 Jan 2023