期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 207, 期 1, 页码 137-147出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2006.07.019
关键词
analytical solution; variational iteration method; Adomian decomposition method; nonlinear partial differential equation; Burgers equation; KdV equation
The variational iteration method (VIM) attracted much attention in the past few years as a promising method for solving nonlinear differential equations. It is shown in this paper that the application of VIM to a special kind of nonlinear differential equations leads to calculation of unneeded terms and more time consumed in repeated calculations for series solutions. A modified VIM is introduced to eliminate the shortcomings; and its effectiveness is illustrated by some examples. (C) 2006 Elsevier B.V. All rights reserved.
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