Table of Contents
ISRN Applied Mathematics
Volume 2012, Article ID 462731, 12 pages
Research Article

The Spectral Method for Solving Sine-Gordon Equation Using a New Orthogonal Polynomial

Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

Received 17 September 2011; Accepted 12 October 2011

Academic Editors: P. J. García Nieto and H.-T. Hu

Copyright © 2012 Zoleikha Soori and Azim Aminataei. 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.


We have presented a numerical scheme for solving one-dimensional nonlinear sine-Gordon equation. We apply the spectral method with a basis of a new orthogonal polynomial which is orthogonal over the interval [ 0 , 1 ] with weighting function one. The results show the accuracy and efficiency of the proposed method.