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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.
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].