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170967

Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part I: Methodology "Linear Case".

Article

Last updated: 04 Jan 2025

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Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

A general analytic methodology, based on the finite integr transform, which is capable of resolving diffusion proble described by nonlinear partial differential equations accurate, and rapidly has been introduced previously by several author The method is extended in this work to solve partial differenti. equations with nonseparable and/or nonlinear boundary condition: The analysis and merit of the proposed method is demonstrated a heat diffusion problem of practical interest and the result compared to the exact solution of the conventional fini integral transform method. 

DOI

10.21608/bfemu.2021.170967

Authors

First Name

Bishri

Last Name

Abdel-Hamid

MiddleName

-

Affiliation

Assistant Professor, Applied Mathematics and Physical Sciences 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

1

Page End

11

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 15_Issue 1_Pages 1-11.pdf

PDF . 93.9kB

Link

https://bfemu.journals.ekb.eg/article_170967.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=170967

Order

19

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 I: Methodology "Linear Case".

Details

Type

Article

Created At

22 Jan 2023