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Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

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Pages 2162-2173 | Received 03 Dec 2016, Accepted 22 May 2017, Published online: 24 Oct 2017
 

ABSTRACT

The coupled viscous Burgers' equations have been an interesting and hot topic in mathematics and physics for a long time, and they have been solved by many methods. In order to make the numerical solutions more accurate, this paper introduces a new method to solve the equations. Compared to other methods, the present method can obtain higher accuracy with fewer nodes. Several numerical examples show the high accuracy of this method.

2010 AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

The authors thank the reviewers for their valuable suggestions, which greatly improved the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This paper is supported by the National Natural Science Foundation of China [grant number 11361037], the Natural Science Foundation of Inner Mongolia [grant number 2015MS0118 and 2017MS0103], and the Numerical Analysis of Graduate Course Construction Project of Inner Mongolia University of Technology [grant number KC2014001].

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