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209133

A Numerical Solution of Integral Equations with a Logarithmic Kernel by Product and Gauss-Legendre Methods.

Article

Last updated: 22 Jan 2023

Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

An integral equation whose kernel presents logarithmic singularity is numerically solved by product method. Gauss-Legendre method is developed to be suitable in handing such type of integral equation. Hence, it is used to obtain a numerical solution for integral equation whose kernel presents logarithmic singularity. A comparison and both the weakness and strengths of the solutions obtained by these methods are evaluated and discussed.

DOI

10.21608/bfemu.2021.209133

Authors

First Name

G.

Last Name

M.Attia

MiddleName

-

Affiliation

Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

-

City

-

Orcid

-

First Name

S.

Last Name

H.Behiry

MiddleName

-

Affiliation

Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Email

-

City

-

Orcid

-

Volume

20

Article Issue

3

Related Issue

23693

Issue Date

1995-09-01

Receive Date

1995-07-16

Publish Date

2021-03-01

Page Start

1

Page End

6

Print ISSN

1110-0923

Online ISSN

2735-4202

Link

https://bfemu.journals.ekb.eg/article_209133.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=209133

Order

6

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

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

MainTitle

-

Details

Type

Article

Created At

22 Jan 2023