New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method
Joint Authors
Bhrawy, Ali H.
Abd-Elhameed, W. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A new algorithm for solving the general nonlinear third-order differential equation is developed by means of a shifted Jacobi-Gauss collocation spectral method.
The shifted Jacobi-Gauss points are used as collocation nodes.
Numerical examples are included to demonstrate the validity and applicability of the proposed algorithm, and some comparisons are made with the existing results.
The method is easy to implement and yields very accurate results.
American Psychological Association (APA)
Bhrawy, Ali H.& Abd-Elhameed, W. M.. 2011. New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-502086
Modern Language Association (MLA)
Bhrawy, Ali H.& Abd-Elhameed, W. M.. New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method. Mathematical Problems in Engineering No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-502086
American Medical Association (AMA)
Bhrawy, Ali H.& Abd-Elhameed, W. M.. New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-502086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502086
