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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:
34A45Theoretical approximation of solutions of ODE
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)
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References:
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