Beta
ManageSearchChatDiscover
368286

Chebyshev spectral method for the Bratu problem

Article

Last updated: 05 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

الرياضيات

Abstract

A novel and effective collocation method for solving the nonlinear Bratu differential equation is
presented in this work. The application of our spectral collocation method enables us to get a
system of nonlinear equations that solved using Newton's iterative approach to get the
approximate solution. Furthermore, Also, numerical comparisons between the presented
procedure with different numerical methods are held. The numerical outcomes confirm that the
proposed procedure is precise, computationally efficient, and easy to implement.

DOI

10.21608/aash.2024.368286

Keywords

Chebyshev polynomials, collocation method, Bratu differential equation

Authors

First Name

Ahmed Abo

Last Name

Elhassan

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Ahmed

Last Name

Rabia

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Hamdy

Last Name

Mohamed

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Mohamed

Last Name

Ali

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Mohamed

Last Name

Emam

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Rashad

Last Name

Faisal

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Saif Elden

Last Name

Mohamed

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Ahmed Gamal

Last Name

Atta

MiddleName

-

Affiliation

Assistant professor, Department of Mathematics Ain Shams University, Faculty of Education

Email

-

City

-

Orcid

-

Volume

1

Article Issue

1

Related Issue

48815

Issue Date

2024-07-01

Receive Date

2024-07-20

Publish Date

2024-07-01

Page Start

23

Page End

34

Online ISSN

3009-6413

Article File

AASH_Volume 1_Issue 1_Pages 23-34.pdf

PDF . 1.2MB

Link

https://aash.journals.ekb.eg/article_368286.html

Detail API

https://aash.journals.ekb.eg/service?article_code=368286

Order

368,286

Type

المقالة الأصلية

Type Code

3,084

Publication Type

Journal

Publication Title

البحوث التطبيقية في العلوم والانسانيات

Publication Link

https://aash.journals.ekb.eg/

MainTitle

Chebyshev spectral method for the Bratu problem

Details

Type

Article

Created At

21 Dec 2024