期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 54, 期 7-8, 页码 1112-1121出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2006.12.077
关键词
nonlinear diffusion equations; variational iteration method; Lagrange multipliers; exact solution; Adomian decomposition method
In this paper. He's variational iteration method is applied to obtain exact solutions of some nonlinear diffusion equations. The variational iteration method is used to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory, and the initial approximations can be freely chosen with unknown constants. The solutions obtained are compared with those obtained by the Adomian decomposition method and homotopy perturbation method, showing excellent agreement, but the variational iteration method is more effective. He's variational iteration method can be introduced to overcome the difficulties arising in calculating Adomian polynomials. (C) 2007 Elsevier Ltd. All rights reserved.
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