Article ID Journal Published Year Pages File Type
4633097 Applied Mathematics and Computation 2009 7 Pages PDF
Abstract

The stability properties of one-leg θ-methods for nonlinear neutral differential equations with proportional delay is investigated. In recent years, the stability of one-leg θ-methods for this class of equations on a quasi-geometric mesh is investigated. Instead, in the present paper, the focus is on stability of one-leg θ-methods for the neutral differential equations with constant delay obtained by applying the approach of transformation to the proportional delay equations. Some sufficient conditions for global stability and asymptotic stability are established. Two numerical examples are also included.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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