An implicit finite difference scheme for the numerical solutions of two-dimensional Burgers equations

Gonca Çelikten ()
Additional contact information
Gonca Çelikten: Kafkas University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 246-260

Abstract: Abstract In this study, the system of two-dimensional Burgers equations is solved by a new approximation that approaches the solution at two time legs: approximation is explicit in x-direction and implicit in y-direction at the first leg while approximation is implicit in x-direction and explicit in y-direction at the second leg. Two test problems are used to illustrate the accuracy of the present approximation. Comparisons are made with the existing methods in the literature. The approximation is analyzed by von-Neumann stability analysis method and it is displayed that the approximation is unconditionally stable. The method is shown to be consistent and second order accurate in time and space. The obtained results show that the present approximation is successful to solve the system of two-dimensional Burgers equations.

Keywords: Two-dimensional Burgers equation; Von-Neumann stability analysis; Primary 65N06; 65M06 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00031-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:53:y:2022:i:1:d:10.1007_s13226-021-00031-w

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00031-w

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().