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Document Details
Document Type
:
Article In Journal
Document Title
:
A quadrature tau method for fractional differential equations with variable coefficients
A quadrature tau method for fractional differential equations with variable coefficients
Subject
:
Mathematics
Document Language
:
English
Abstract
:
In this article, we develop a direct solution technique for solving multi-order fractional differential equations (FDEs) with variable coefficients using a quadrature shifted Legendre tau (Q-SLT) method. The spatial approximation is based on shifted Legendre polynomials. A new formula expressing explicitly any fractional-order derivatives of shifted Legendre polynomials of any degree in terms of shifted Legendre polynomials themselves is proved. Extension of the tau method for FDEs with variable coefficients is treated using the shifted LegendreGaussLobatto quadrature. Numerical results are given to confirm the reliability of the proposed method for some FDEs with variable coefficients.
ISSN
:
0893-9659
Journal Name
:
Applied Mathematics Letters
Volume
:
24
Issue Number
:
12
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Sunday, March 11, 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 S Ezz-Eldien
Ezz-Eldien, S S
Researcher
Doctorate
Files
File Name
Type
Description
32622.pdf
pdf
Abstract
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