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Variational iteration method for autonomous ordinary differential systems. (English) Zbl 1027.34009
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:
34A45 Theoretical approximation of solutions to ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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