Mosul University
  • Register
  • Login
  • العربیة

AL-Rafidain Journal of Computer Sciences and Mathematics

Notice

As part of Open Journals’ initiatives, we create website for scholarly open access journals. If you are responsible for this journal and would like to know more about how to use the editorial system, please visit our website at https://ejournalplus.com or
send us an email to info@ejournalplus.com

We will contact you soon

  1. Home
  2. Volume 9, Issue 1
  3. Authors

Current Issue

By Issue

By Subject

Keyword Index

Author Index

Indexing Databases XML

About Journal

Aims and Scope

Editorial Board

Editorial Staff

Publication Ethics

Indexing and Abstracting

Related Links

Peer Review Process

News

Numerical solution and stability analysis of the Sine-Gordon system in two dimensions

    Saad A. Manna Haneen T. Jassim

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 13-25
10.33899/csmj.2012.163684

  • Show Article
  • Download
  • Cite
  • Statistics
  • Share

Abstract

This paper deals with the numerical solution for Sine-Gordon system in two dimensions using two finite difference methods the (ADE) and (ADI) methods .A comparison between the two methods has been done and we have obtained that the (ADE) method is the easer while the (ADI) method is more accurate than the (ADE) method. We also studied the stability analysis for each method by using Fourier (Von Neumann) method and we have obtained that the (ADI) method is unconditionally stable while the (ADE) method is stable under the condition  and    where  is the ratio of the waves speed  u , w and . 
 
 
Keywords:
    Finite difference methods Sine-Gordon system
  • PDF (437 K)
  • XML
(2012). Numerical solution and stability analysis of the Sine-Gordon system in two dimensions. AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 13-25. doi: 10.33899/csmj.2012.163684
Saad A. Manna; Haneen T. Jassim. "Numerical solution and stability analysis of the Sine-Gordon system in two dimensions". AL-Rafidain Journal of Computer Sciences and Mathematics, 9, 1, 2012, 13-25. doi: 10.33899/csmj.2012.163684
(2012). 'Numerical solution and stability analysis of the Sine-Gordon system in two dimensions', AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), pp. 13-25. doi: 10.33899/csmj.2012.163684
Numerical solution and stability analysis of the Sine-Gordon system in two dimensions. AL-Rafidain Journal of Computer Sciences and Mathematics, 2012; 9(1): 13-25. doi: 10.33899/csmj.2012.163684
  • RIS
  • EndNote
  • BibTeX
  • APA
  • MLA
  • Harvard
  • Vancouver
  • Article View: 45
  • PDF Download: 41
  • LinkedIn
  • Twitter
  • Facebook
  • Google
  • Telegram
  • Home
  • Glossary
  • News
  • Aims and Scope
  • Privacy Policy
  • Sitemap
This journal is licensed under a Creative Commons Attribution 4.0 International (CC-BY 4.0)

Powered by eJournalPlus