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Dissipativity of multistep Runge-Kutta methods for a class of nonlinear functional-integro-differential equations
Received date: 2018-03-26
Online published: 2018-12-23
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.
ZHANG Yan . Dissipativity of multistep Runge-Kutta methods for a class of nonlinear functional-integro-differential equations[J]. Journal of Shanghai University, 2020 , 26(3) : 456 -471 . DOI: 10.12066/j.issn.1007-2861.2052
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