Document Details

Document Type : Article In Journal 
Document Title :
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
 
Subject : Mathematics 
Document Language : English 
Abstract : We are concerned with linear and nonlinear multi-term fractional differential equations (FDEs). The shifted Chebyshev operational matrix (COM) of fractional derivatives is derived and used together with spectral methods for solving FDEs. Our approach was based on the shifted Chebyshev tau and collocation methods. The proposed algorithms are applied to solve two types of FDEs, linear and nonlinear, subject to initial or boundary conditions, and the exact solutions are obtained for some tested problems. Numerical results with comparisons are given to confirm the reliability of the proposed method for some FDEs. 
ISSN : 0898-1221 
Journal Name : Computers and Mathematics with Applications 
Volume : 62 
Issue Number : 5 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Sunday, April 29, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
Eid H DohaDoha, Eid HResearcherDoctorateeiddoha@frcu.eun.eg
علي حسن بحراويBhrawy, Ali HResearcherDoctoratealibhrawy@yahoo.co.uk
S S Ezz-EldienEzz-Eldien, S SResearcherDoctoratessezeldien@yahoo.com

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