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 TypeDr GradeEmail
علي حسن بحراويBhrawy, Ali HResearcherDoctoratealibhrawy@yahoo.co.uk
عبدالعزيز سليم العوفيAlofi, Abdulaziz SResearcherDoctorateasmo1427@yahoo.com
S S Ezz-EldienEzz-Eldien, S SResearcherDoctorate 

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