Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638265 | Journal of Computational and Applied Mathematics | 2016 | 10 Pages |
Abstract
For differential equations with discontinuous right-hand side and, in particular, for neutral delay equations it may happen that classical solutions do no exist beyond a certain time instant. In this situation, it is common to consider weak solutions of Utkin (Filippov) type. This article extends the concept of weak solutions and proposes a new regularization which eliminates the discontinuities. Codimension-11 and codimension-22 weak solutions are considered. Numerical experiments show the advantages of the new regularization.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nicola Guglielmi, Ernst Hairer,