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Document Details
Document Type
:
Article In Journal
Document Title
:
A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations
A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations
Subject
:
Mathematics
Document Language
:
English
Abstract
:
A Jacobi dual-Petrov-Galerkin (JDPG) method is introduced and used for solving fully integrated reformulations of third- and fifth-order ordinary differential equations (ODEs) with constant coefficients. The reformulated equation for the J th order ODE involves n -fold indefinite integrals for n=1,.,J. Extension of the JDPG for ODEs with polynomial coefficients is treated using the Jacobi-Gauss-Lobatto quadrature. Numerical results with comparisons are given to confirm the reliability of the proposed method for some constant and polynomial coefficients ODEs.
ISSN
:
1085-3375
Journal Name
:
Abstract and Applied Analysis
Volume
:
2011
Issue Number
:
1
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Tuesday, June 5, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
علي حسن بحراوي
Bhrawy, Ali H
Researcher
Doctorate
alibhrawy@yahoo.co.uk
Eid H Doha
Doha, Eid H
Researcher
Doctorate
eiddoha@frcu.eun.eg
R M Hafez
Hafez, R M
Researcher
Doctorate
r_mhafez@yahoo.com
Files
File Name
Type
Description
33503.pdf
pdf
Abstract
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