Journal of Shanghai University(Natural Science Edition) ›› 2020, Vol. 26 ›› Issue (3): 456-471.doi: 10.12066/j.issn.1007-2861.2052

• Research Articles • Previous Articles     Next Articles

Dissipativity of multistep Runge-Kutta methods for a class of nonlinear functional-integro-differential equations

ZHANG Yan()   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2018-03-26 Online:2020-06-30 Published:2020-01-31
  • Contact: ZHANG Yan E-mail:1653287436@qq.com

Abstract:

In this paper, the dissipation of numerical solutions for nonlinear functional-integro-differential equations is studied. A sufficient condition of the dissipation of the multistep Runge-Kutta method is presented for the equation. Furthermore, a numerical example is given to illustrate the main result of this paper.

Key words: functional-integro-differential equation, Multistep R-K methods, Dissipativity, Algebraic stability, Dynamical systems

CLC Number: