Variational iteration method for solving Burger's and coupled Burger's equations

Authors:
M. A. Abdou;A. A. Soliman
Affiliations:
Theoretical Research Group, Department of Physics, Faculty of Science, Mansoura University, Mansoura, Egypt;Department of Mathematics, Faculty of Education (AL-Arish), Suez Canal University, AL-Arish 45111, Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 0
Cited 8

Numerical simulation of the generalized regularized long wave equation by He's variational iteration method

Mathematics and Computers in Simulation
New exact solutions for the Kawahara equation using Exp-function method

Journal of Computational and Applied Mathematics
Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method

Computers & Mathematics with Applications
A modified variational iteration method for solving Riccati differential equations

Computers & Mathematics with Applications
The new numerical method for solving the system of two-dimensional Burgers' equations

Computers & Mathematics with Applications
Exact and numerical solutions for non-linear Burger's equation by VIM

Mathematical and Computer Modelling: An International Journal
A study on the convergence of variational iteration method

Mathematical and Computer Modelling: An International Journal
Numerical solution of linear fuzzy Volterra integro-differential equations by variational iteration method

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications

Quantified Score

Hi-index	7.29

Visualization

Abstract

By means of variational iteration method the solutions of Burger's equation and coupled Burger's equations are exactly obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.