Beta
ManageSearchChatDiscover
71013

NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS

Article

Last updated: 25 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

A simple, efficient numerical solution method for nonlinear
boundary value problems is presented. The approach depends on
linearizing the finite-differenced equations for the dependent
variables then solving the correction equation for the dependent
variable by the tri-diagonal matrix method, finally correcting the
solution at each iteration. The method is somewhat similar to
Newton's method in that the Jacobian is evaluated at each iteration,

DOI

10.21608/erjm.2001.71013

Authors

First Name

Hamza M.

Last Name

Habib

MiddleName

-

Affiliation

Department of Basic Engineering Sciences El-Menoufia University Shebin El-Kom, Egypt ,

Email

-

City

-

Orcid

-

First Name

Mohamed Magdy M.

Last Name

El-Farrash

MiddleName

-

Affiliation

Department of Basic Engineering Sciences El-Menoufia University Shebin El-Kom, Egypt ,

Email

-

City

-

Orcid

-

First Name

Mohamady A.

Last Name

Basiouny

MiddleName

-

Affiliation

Department of Basic Engineering Sciences El-Menoufia University Shebin El-Kom, Egypt ,

Email

-

City

-

Orcid

-

Volume

24

Article Issue

2

Related Issue

10777

Issue Date

2001-04-01

Receive Date

2020-02-13

Publish Date

2001-04-01

Page Start

55

Page End

67

Print ISSN

1110-1180

Online ISSN

3009-6944

Article File

ERJM_Volume 24_Issue 2_Pages 55-67.pdf

PDF . 264.4kB

Link

https://erjm.journals.ekb.eg/article_71013.html

Detail API

https://erjm.journals.ekb.eg/service?article_code=71013

Order

4

Type

Original Article

Type Code

1,118

Publication Type

Journal

Publication Title

ERJ. Engineering Research Journal

Publication Link

https://erjm.journals.ekb.eg/

MainTitle

NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS

Details

Type

Article

Created At

22 Jan 2023