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Document Details
Document Type
:
Article In Journal
Document Title
:
Spectral shifted Jacobi Tau and collocation methods for solving fifth-order boundary value problems
Spectral shifted Jacobi Tau and collocation methods for solving fifth-order boundary value problems
Subject
:
Mathematics
Document Language
:
English
Abstract
:
We have presented an efficient spectral algorithm based on shifted Jacobi tau method of linear fifth-order two-point boundary value problems (BVPs). An approach that is implementing the shifted Jacobi tau method in combination with the shifted Jacobi collocation technique is introduced for the numerical solution of fifth-order differential equations with variable coefficients. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplify the problem. Shifted Jacobi collocation method is developed for solving nonlinear fifth-order BVPs. Numerical examples are performed to show the validity and applicability of the techniques. A comparison has been made with the existing results. The method is easy to implement and gives very accurate results.
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
:
Wednesday, April 25, 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
عبدالعزيز سليم العوفي
Alofi, Abdulaziz S
Researcher
Doctorate
asmo1427@yahoo.com
S I El-Soubhy
El-Soubhy, S I
Researcher
Doctorate
soone1@windowslive.com
Files
File Name
Type
Description
33031.pdf
pdf
Abstract
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