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Zbl 1072.65127
Abdou, M.A.; Soliman, A.A.
Variational iteration method for solving Burgers and coupled Burgers equations. (English)
[J] J. Comput. Appl. Math. 181, No. 2, 245-251 (2005). ISSN 0377-0427

Summary: By means of variational iteration method the solutions of Burgers equation and coupled Burgers equations are exactly obtained, a comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, {\it J. H. He}'s variational iteration method [Appl. Math. Comput. 114, No. 2--3, 115--123 (2000; Zbl 1027.34009)] is introduced to overcome the difficulty arising in calculating Adomian polynomials.

MSC 2000:: *65M60 Finite numerical methods (IVP of PDE)
35Q53 KdV-like equations

Keywords: Burger's equations; Variational iteration method; Lagrange multiplier; comparison of methods; numerical examples; Adomian decomposition method

Citations: Zbl 1027.34009

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