Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
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.
scientific article; zbMATH DE number 4035050
scientific article