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Zbl 1027.34009
He, Ji-Huan
Variational iteration method for autonomous ordinary differential systems. (English)
[J] Appl. Math. Comput. 114, No.2-3, 115-123 (2000). ISSN 0096-3003

Summary: Here, 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 boundary/initial conditions. Some examples are given. The results reveal that the method is very effective and convenient.

MSC 2000:: *34A45 Theoretical approximation of solutions of ODE
34A25 Analytical theory of ODE

Keywords: general Lagrange multipliers

Cited in: Zbl 1192.65167 Zbl 1166.65389 Zbl 1156.76048 Zbl 1110.65068 Zbl 1072.65127

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Zentralblatt MATH Berlin [Germany]