Next Article in Journal
Three-Parameter Interval Grey Number Multi-Attribute Decision Making Method Based on Information Entropy
Previous Article in Journal
A New Algorithm for the Numerical Solution of Telegraph Equations by Using Fibonacci Polynomials
Article Menu

Export Article

Open AccessArticle
Math. Comput. Appl. 2016, 21(2), 16; doi:10.3390/mca21020016

Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime

1
Central Bank of the Republic of Turkey (TCMB), Antalya 07100, Turkey
2
Department of Mathematics, Middle East Technical University (METU), Ankara 06800, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Fazal Mahomed
Received: 23 March 2016 / Revised: 24 April 2016 / Accepted: 4 May 2016 / Published: 10 May 2016
View Full-Text   |   Download PDF [515 KB, uploaded 13 May 2016]   |  

Abstract

Several generalizations of the relativistic models of Burgers equations have recently been established and developed on different spacetime geometries. In this work, we take into account the de Sitter spacetime geometry, introduce our relativistic model by a technique based on the vanishing pressure Euler equations of relativistic compressible fluids on a (1+1)-dimensional background and construct a second order Godunov type finite volume scheme to examine numerical experiments within an analysis of the cosmological constant. Numerical results demonstrate the efficiency of the method for solutions containing shock and rarefaction waves. View Full-Text
Keywords: relativistic Burgers equation; Euler system; de Sitter metric; de Sitter backgrounds; finite volume method; Godunov scheme relativistic Burgers equation; Euler system; de Sitter metric; de Sitter backgrounds; finite volume method; Godunov scheme
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. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Ceylan, T.; Okutmustur, B. Finite Volume Method for the Relativistic Burgers Model on a (1+1)-Dimensional de Sitter Spacetime. Math. Comput. Appl. 2016, 21, 16.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top