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Computation of solutions of nonlinear boundary value problems. (English) Zbl 0728.65069

Summary: We develop an explicit method allowing efficient computation of solutions of nonlinear boundary value problems with nonlinear boundary conditions. We apply our results to the nonlinear beam equation, and to second order problems in the case when the growth of nonlinearities in the first derivative of the solution is not restriced, for which there are very few theoretical results.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L12 Finite difference and finite volume methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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