期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 114, 期 2-3, 页码 115-123出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/S0096-3003(99)00104-6
关键词
nonlinearity; variational technique; autonomous ordinary differential equations
In this paper, a new iteration technique is proposed to solve autonomous ordinary differential systems. In this method, general Lagrange multipliers are introduced to construct correction functionals for the systems. The multipliers in the functionals can be identified by the variational theory. The initial approximations can be freely chosen with possible unknown constants, which can be determined by imposing the boundary/initial conditions. Some examples are given. The results reveal that the method is very effective and convenient. (C) 2000 Elsevier Science Inc. All rights reserved.
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