One-step methods for ordinary differential equations with parameters. (English) Zbl 0701.65053

The paper is concerned with the problem of numerical determination of the parameters of nonlinear ordinary differential equations satisfying two- point boundary value conditions. Iterative methods based on the use of one-step integration procedures are proposed for two classes of problems. Sufficient conditions for the convergence of these methods are proved and error estimates are provided. Numerical examples illustrate the proposed methods.
Reviewer: A.Varga


65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L70 Error bounds for numerical methods for ordinary differential equations
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