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Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method. (English) Zbl 0635.65099
A spline-collocation approximation to a class of nonlinear two-point boundary-value problems is considered. The resulting system of nonlinear equations is solved by a Chow-Yorke homotopy method. It could be shown that the algorithm is globally convergent. For the example of a fluid- dynamics boundary-value problem numerical results obtained with the software package HOMPACK are reported.
Reviewer: W.Zulehner

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65H10 Numerical computation of solutions to systems of equations
34B15 Nonlinear boundary value problems for ordinary differential equations
Full Text: DOI
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