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149968

Product Block for Volterra Integral Equations of the Second Kind with Singular Kernel.

Article

Last updated: 22 Jan 2023

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Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

The block method is a good self-starting method for solving volterra integral equations with continuous kernel. In this paper two modifications are suggested to develop block method and to use it to solve volterra integral equations of the second kind with singular kernel . The idea of the product technique is used for block method, which is the first modification, while the second modification is the use of the graded nodes with block method. Some algorithms are considered and the solution procedures are carried out. Implementation and testing of the considered algorithms have been done. The results show that the graded nodes give good results compared with equal spaced nodes.
 

DOI

10.21608/bfemu.2021.149968

Authors

First Name

Salah

Last Name

El-Emam

MiddleName

Hassam Yousef

Affiliation

Mechanical Power Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

sh_elemam@mans.edu.eg

City

Mansoura

Orcid

-

First Name

G.

Last Name

Attia

MiddleName

M.

Affiliation

Mathematics & Physics Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

First Name

A.

Last Name

Hussean

MiddleName

E.

Affiliation

Mathematics & Physics Engineering Department., Faculty of Engineering., Cairo University., Cairo., Egypt.

Email

-

City

Cairo

Orcid

-

First Name

S.

Last Name

El-Kotb

MiddleName

F.

Affiliation

Mathematics & Physics Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

23

Article Issue

2

Related Issue

21994

Issue Date

1998-06-01

Receive Date

1998-03-11

Publish Date

2020-06-01

Page Start

11

Page End

18

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 23_Issue 2_Pages 11-18.pdf

PDF . 439.5kB

Link

https://bfemu.journals.ekb.eg/article_149968.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=149968

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