A spectral Rayleigh–Ritz scheme for nonlinear partial differential systems of first order - Egyptian Knowledge Bank

387279

A spectral Rayleigh–Ritz scheme for nonlinear partial differential systems of first order

Article

Last updated: 31 Dec 2024

Subjects

Abstract

Nonlinear systems of partial differential problems of first order with Dirichlet boundary
conditions is considered. ultraspherical integral zero- boundary (UIZB) method is combined with
Rayleigh–Ritz method to approximate the unknowns. The approach converts the problem to be a
multi-objective constrained optimization problem which is easier to solve. Accurate results can be
obtained by selecting a limited number of collocation points. Numerical examples are included to
demonstrate the accuracy and efficiency of the propped method.

DOI

10.1016/j.joems.2015.11.001

Keywords

Ultraspherical integral ze- ros method, Rayleigh–Ritz method, Boundary value problems, Nonlinear first-order par- tial differential systems, Multi-objective constrained optimization

Authors

View Authors

First Name

Hussien

Last Name

Hussien

MiddleName

Affiliation

Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Email

City

Orcid

Volume

Article Issue

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

373

Page End

380

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 3_Pages 373-380.pdf

PDF . 1.3MB

Link

https://joems.journals.ekb.eg/article_387279.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387279

Order

387,279

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle