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Variational iteration transform method for solving burger and coupled burger’s equations


Article Information

Title: Variational iteration transform method for solving burger and coupled burger’s equations

Authors: Ali Al-Fayadh, Hasan Ali Khawwan

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2017

Volume: 12

Issue: 23

Language: English

Categories

Abstract

In this paper, Variational iteration transform method is employed to determine the exact solution of the Burger equation which 1-dimensional and coupled Burger’s equations nonlinear partial differential equation. This method is combined form of the Laplace transforms and Variational iteration method. The explicit solutions obtained were compared the exact solutions. The method finds the solution without any restrictive assumptions and free from round-off errors and therefore reduce the numerical computation to a great extent. The method is tested on two examples and coupled Burger’s equations. The results show that new method is more effective and convenient to use and high accuracy of it is evident.


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