Contributions to Books:
J. Cash, G. Kitzhofer, O. Koch, G. Moore, E. Weinmüller:
"Numerical Solution of singular two point BVPs";
in: "ASC Report 22/2008",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
An algorithm is described for the efficient numerical solution of singular two-point boundary value problems.
The algorithm is based on collocation at Gauss points, is applied directly to second order equations
and uses a transformation of the independent variable to obtain extra smoothness if needed. Numerical
comparisons between a code based on this approach and codes based on other options which have previously
been thought of as possible alternatives such as collocation at Lobatto points or reduction to a
first order system, are made and the efficiency of the new approach is clearly demonstrated by numerical
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.