Contributions to Books:
P. Lima, L. Morgado, M. Schöbinger, E. Weinmüller:
"A novel Computational Approach to Singular Free Boundary Problems in Ordinary Differential Equations";
in: "ASC Report 11/2016",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We study the numerical solution of a singular free boundary problem for a second order nonlinear ordinary diﬀerential equation, where the diﬀerential operator is the degenerate m-Laplacian. A typical diﬃculty arising in free boundary problems is that the analytical solution may become non-smooth at one bound-ary or at both boundaries of the interval of integration. A numerical method proposed in  consists of two steps. First, a smoothing variable transformation is applied to the analytical problem in order to im-prove the smoothness of its solution. Then, the problem is discretized by means of a ﬁnite diﬀerence scheme.
Degenerate Laplacian, singular free boundary problem, smoothing variable substitution, collocation methods.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.