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Abdou, M. A.; Soliman, A. A.

Variational iteration method for solving Burgers and coupled Burgers equations. (English) Zbl 1072.65127

J. Comput. Appl. Math. 181, No. 2, 245-251 (2005).
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, 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.

Cited in 200 Documents

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries 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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\textit{M. A. Abdou} and \textit{A. A. Soliman}, J. Comput. Appl. Math. 181, No. 2, 245--251 (2005; Zbl 1072.65127)
Full Text: DOI

References:

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