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Open AccessArticle

Numerical Solutions of Coupled Burgers’ Equations

1
Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan
2
Section of Mathematics, International Telematic University Uninettuno, 39, 00186 Roma, Italy
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Author to whom correspondence should be addressed.
Axioms 2019, 8(4), 119; https://doi.org/10.3390/axioms8040119
Received: 9 October 2019 / Revised: 20 October 2019 / Accepted: 21 October 2019 / Published: 23 October 2019
In this article, two new modified variational iteration algorithms are investigated for the numerical solution of coupled Burgers’ equations. These modifications are made with the help of auxiliary parameters to speed up the convergence rate of the series solutions. Three numerical test problems are given to judge the behavior of the modified algorithms, and error norms are used to evaluate the accuracy of the method. Numerical simulations are carried out for different values of parameters. The results are also compared with the existing methods in the literature. View Full-Text
Keywords: modified variational iteration algorithm-I; modified variational iteration algorithm-II; coupled Burgers equation; MVIA-II modified variational iteration algorithm-I; modified variational iteration algorithm-II; coupled Burgers equation; MVIA-II
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MDPI and ACS Style

Ahmad, H.; Khan, T.A.; Cesarano, C. Numerical Solutions of Coupled Burgers’ Equations. Axioms 2019, 8, 119.

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