ScholarLens Back to search
2014•Advances in Difference EquationsOpen access

Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

Lei Zhang, Lisha Wang, Xiaohua Ding

Open full text 12 citations

Abstract

Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation. Numerical examples are presented to verify the efficiency and accuracy of the methods. MSC:39A10, 65L12, 74H15.

Open-access reader

About this research paper

What this paper is about

Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation. Numerical examples are presented to verify the efficiency and accuracy of the methods. MSC:39A10, 65L12, 74H15.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation. Numerical examples are presented to verify the efficiency and accuracy of the methods. MSC:39A10, 65L12, 74H15.

Key concepts: Burgers' equation, Mathematics, Partial differential equation, Finite difference coefficient, Finite difference, Finite difference method, Central differencing scheme, Finite difference scheme

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation — Research Paper | ScholarLens