Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems
Joint Authors
Bhrawy, Ali H.
Alofi, Abdulaziz
El-Soubhy, S. I.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-06
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bhrawy, Ali H.& Alofi, Abdulaziz& El-Soubhy, S. I.. 2011. Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-500936
Modern Language Association (MLA)
Bhrawy, Ali H.…[et al.]. Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems. Abstract and Applied Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-500936
American Medical Association (AMA)
Bhrawy, Ali H.& Alofi, Abdulaziz& El-Soubhy, S. I.. Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-500936
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500936