Numerical stability of coupled differential equation with piecewise constant arguments

  • Qi Wang School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China
Keywords: Coupled differential equation; Piecewise constant arguments; Linear method; Stability.

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  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.

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References

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Published
2020-06-12
How to Cite
Wang, Q. (2020). Numerical stability of coupled differential equation with piecewise constant arguments. Journal of Progressive Research in Mathematics, 16(2), 2955-2968. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/1866
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Articles