# Numerical stability of coupled differential equation with piecewise constant arguments

### Abstract

This paper deals with the stability of numerical solutions for a coupled differential equation with piecewise constant arguments. A sufficient condition such that the system is asymptotically stable is derived. Furthermore, when the linear -method is applied to this system, it is shown that the linear -method is asymptotically stable if and only if . Finally, some numerical experiments are given.

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*Journal of Progressive Research in Mathematics*,

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