Exact and numerical solutions for non-linear Burger's equation by VIM

Authors:
J. Biazar;H. Aminikhah
Affiliations:
Department of Mathematics, Faculty of Sciences, University of Guilan, P.O. Box 1914, P.C. 41938, Rasht, Iran;Department of Mathematics, School of Mathematical Sciences, Shahrood University of Technology, P. O. Box 316, P.C. 3619995161, Shahrood, Iran
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

Citing 7
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Abstract

In this article variational iteration method (VIM), established by He in (1999), is considered to solve nonlinear Bergur's equation. This method is a powerful tool for solving a large number of problems. Using variational iteration method, it is possible to find the exact solution or a closed approximate solution of a problem. Comparing the results with those of Adomian's decomposition and finite difference methods reveals significant points. To illustrate the ability and reliability of the method, some examples are provided.