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Oscillation analysis of numerical solutions in the ?-methods for differential equation of advanced type.

Authors :
Gao, Jianfang
Liu, Shimeng
Source :
Mathematical Methods in the Applied Sciences. Dec2015, Vol. 38 Issue 18, p5271-5278. 8p.
Publication Year :
2015

Abstract

The paper deals with the oscillation analysis of numerical solution in the ?-methods for differential equations with piecewise constant arguments of advanced type. The conditions of the oscillation for the ?-method are obtained. It is proved that the oscillation of the analytic solution is preserved by the ?- method. Some numerical experiments are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
38
Issue :
18
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
112038184
Full Text :
https://doi.org/10.1002/mma.3458