Copyright © 2011 A. H. Bhrawy and W. M. Abd-Elhameed. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.