刊名:Journal of Computational and Applied Mathematics
出版年:2017
出版时间:April 2017
年:2017
卷:314
期:Complete
页码:10-29
全文大小:1057 K
卷排序:314
文摘
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.