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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Bibliographic Details
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
Online Access:Get full text
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Summary: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.
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ISSN:2075-1680
2075-1680
DOI:10.3390/axioms8040119