Journal article
hp-Legendre-Gauss collocation method for impulsive differential equations
International journal of computer mathematics, v 94(1), pp 151-172
01 Jan 2017
Abstract
The original Legendre-Gauss collocation method is derived for impulsive differential equations, and the convergence is analysed. Then a new hp-Legendre-Gauss collocation method is presented for impulsive differential equations, and the convergence for the hp-version method is also studied. The results obtained in this paper show that the convergence condition for the original Legendre-Gauss collocation method depends on the impulsive differential equation, and it cannot be improved, however, the convergence condition for the hp-Legendre-Gauss collocation method depends both on the impulsive differential equation and the meshsize, and we always can choose a sufficient small meshsize to satisfy it, which show that the hp-Legendre-Gauss collocation method is superior to the original version. Our theoretical results are confirmed in two test problems.
Metrics
Details
- Title
- hp-Legendre-Gauss collocation method for impulsive differential equations
- Creators
- Hui Liang - Heilongjiang UniversityHualou Liang - School of Biomedical Engineering, Science, and Health Systems (1997-)
- Publication Details
- International journal of computer mathematics, v 94(1), pp 151-172
- Publisher
- Taylor & Francis
- Number of pages
- 22
- Grant note
- 11101130 / National Nature Science Foundation of China; National Natural Science Foundation of China (NSFC) 1254G044 / Research Fund of the Heilongjiang Provincial Education Department JCL201303 / Heilongjiang University Science Funds for Distinguished Young Scholars 2014TD005 / Science and Technology Innovation Team in Higher Education Institutions of Heilongjiang Province
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:000393768100011
- Scopus ID
- 2-s2.0-84944930040
- Other Identifier
- 991019320613304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied