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

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

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 propo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:ISRN applied mathematics 2012-12, Vol.2012 (2012), p.1-12
Hauptverfasser: Soori, Zoleikha, Aminataei, Azim
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2090-5564
2090-5572
2090-5572
DOI:10.5402/2012/462731