AN UNCONDITIONALLY STABLE FINITE DIFFERENCE SCHEME FOR EQUATIONS OF CONSERVATION LAW FORM

Authors

  • Saeid Abbasbandy Imam Khomeini International University - Department of Mathematics
  • Ahmad Shirzadi Imam Khomeini International University - Department of Mathematics

Keywords:

finite difference schemes, implicit methods, explicit techniques, Saulyev’s technique, Lax-Wendroff formula

Abstract

This study presents a numerical scheme for solving one dimensional equations of conservation law form.  The Saulyev’s finite difference techniques are used to compute the solution.  Although the resulting difference equation do not appear explicit, a suitable use of the equation make it explicit.  It is shown that this explicit scheme is unconditionally stable.  A numerical example is presented to demonstrate the accuracy and efficiency of the proposed computational procedure. 

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Abbasbandy, S., & Shirzadi, A. (2017). AN UNCONDITIONALLY STABLE FINITE DIFFERENCE SCHEME FOR EQUATIONS OF CONSERVATION LAW FORM. Italian Journal of Pure and Applied Mathematics, 37, 1–4. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6750

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Saeid Abbasbandy, Ahmad Shirzadi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)