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 TypeDr GradeEmail
علي حسن بحراويBhrawy, Ali HResearcherDoctoratealibhrawy@yahoo.co.uk
عبدالعزيز سليم العوفيAlofi, Abdulaziz SResearcherDoctorateasmo1427@yahoo.com
S I El-SoubhyEl-Soubhy, S IResearcherDoctoratesoone1@windowslive.com

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