Title
Numerical oscillation of neutral logistic delay differential equation
Abstract
The equation is transformed by an invariant oscillation transformation.Some conditions under which the numerical solution oscillates are obtained.We consider the asymptotic property of non-oscillatory numerical solution. This paper mainly deals with the oscillation of numerical solution for the neutral logistic delay differential equation. Applying the ¿ -methods to the simplified type of the original equation which is got through an invariant oscillation transformation. It is proven that every non-oscillatory numerical solution tends to the steady state of the model. Moreover, some conditions under which the numerical solution oscillates are obtained. Finally, to demonstrate our theoretical results, some numerical examples are adopted.
Year
DOI
Venue
2015
10.1016/j.amc.2015.01.113
Applied Mathematics and Computation
Keywords
Field
DocType
-methods,non-oscillation,oscillation,delay logistic equation,neutral delay differential equation,&#952
Order of accuracy,Mathematical optimization,Oscillation,Mathematical analysis,Invariant (mathematics),Steady state,Delay differential equation,Mathematics,Numerical stability
Journal
Volume
Issue
ISSN
258
C
0096-3003
Citations 
PageRank 
References 
0
0.34
7
Authors
1
Name
Order
Citations
PageRank
Wang Qi138.18