Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637665 | Journal of Computational and Applied Mathematics | 2017 | 20 Pages |
Abstract
This paper focuses on blow-up solutions of ordinary differential equations (ODEs). We present a method for validating blow-up solutions and their blow-up times, which is based on compactifications and the Lyapunov function validation method. The necessary criteria for this construction can be verified using interval arithmetic techniques. Some numerical examples are presented to demonstrate the applicability of our method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Akitoshi Takayasu, Kaname Matsue, Takiko Sasaki, Kazuaki Tanaka, Makoto Mizuguchi, Shin’ichi Oishi,