Numerical validation of blow-up solutions of ordinary differential equations
Bibliographic Information
- Other Title
-
- Numerical validation of blow-up solutions for ordinary differential equations
Search this article
Description
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.
Accepted version, to appear in Journal of Computational and Applied Mathematics
Journal
-
- Journal of Computational and Applied Mathematics
-
Journal of Computational and Applied Mathematics 314 10-29, 2017-04
Elsevier
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1050001202640515456
-
- NII Book ID
- AA00696002
-
- HANDLE
- 2241/00145168
-
- ISSN
- 03770427
-
- Text Lang
- en
-
- Article Type
- journal article
-
- Data Source
-
- IRDB
- Crossref
- KAKEN
- OpenAIRE