Numerical Solutions of Coupled Burgers’ Equations

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...

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Published in:	Axioms Vol. 8; no. 4; p. 119
Main Authors:	Ahmad, Hijaz, Khan, Tufail A., Cesarano, Clemente
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 2019
Subjects:	Accuracy Algorithms Approximation Burgers equation coupled burgers equation Iterative algorithms Iterative methods Lagrange multiplier modified variational iteration algorithm-i modified variational iteration algorithm-ii mvia-ii Norms Parameter modification Partial differential equations
ISSN:	2075-1680, 2075-1680
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Abstract	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.
AbstractList	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.
Author	Ahmad, Hijaz Cesarano, Clemente Khan, Tufail A.
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SubjectTerms	Accuracy Algorithms Approximation Burgers equation coupled burgers equation Iterative algorithms Iterative methods Lagrange multiplier modified variational iteration algorithm-i modified variational iteration algorithm-ii mvia-ii Norms Parameter modification Partial differential equations
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Title	Numerical Solutions of Coupled Burgers’ Equations
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