TY - JOUR AU - Qi Wang PY - 2020/06/12 Y2 - 2024/03/29 TI - Numerical stability of coupled differential equation with piecewise constant arguments JF - Journal of Progressive Research in Mathematics JA - JPRM VL - 16 IS - 2 SE - Articles DO - UR - http://www.scitecresearch.com/journals/index.php/jprm/article/view/1866 AB - 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  θ-method is applied to this system, it is shown that the linear θ-method is asymptotically stable if and only if 1/2<θ≤1. Finally, some numerical experiments are given. ER -