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An efficient and simple approximate technique for solving nonlinear initial and boundary-value problems. (English) Zbl 0757.65083

A Picard-Lindelöf type iteration is proposed for solving nonlinear initial or boundary-value problems. Convergence of the iteration is proved. Its efficiency is demonstrated by two examples.
Reviewer: E.Hairer (Genève)

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
34B15 Nonlinear boundary value problems for ordinary differential equations
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