Contributions to Books:
J. Burkotova, I. Rachunkova, S. Stanek, E. Weinmüller:
"Analytical and numerical treatment of singular linear BVPs with unsmooth inhomogeneity";
in: "ASC Report 36/2014",
issued by: Institute for Analysis and Scientific Computing;
Institut für Angewandte und Numerische Mathematik, Vienna University of Technology,
Wien,
2014,
ISBN: 978-3-902627-07-0,
1
- 4.
English abstract:
We investigate analytical and numerical properties of systems of linear ordinary differential equations with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are especially interested in specifying the structure of general linear two-point boundary conditions guaranteeing existence and uniqueness of solutions which are continuous ona closed intervalincluding the singularpoint t= 0. Moreover, westudy the convergencebehaviour of collocation schemes applied to solve the problem numerically.
Keywords:
linear systems of ODEs, singular boundary value problem, time singularity of the first kind, unsmooth inhomogeneity, existence and uniqueness, collocation method, convergence
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2014/asc36x2014.pdf
Created from the Publication Database of the Vienna University of Technology.