Year: 2002
Author: Cheng-Jian Zhang
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 6 : pp. 583–590
Abstract
This paper first presents the stability analysis of theoretical solutions for a class of nonlinear neutral delay-differential equations (NDDEs). Then the numerical analogous results, of the natural Runge-Kutta (NRK) methods for the same class of nonliner NDDEs, are given. In particular, it is shown thar the ($k,l$)-algebraic stability of a RK method for ODEs implies the generalized asymptotic stability and the global stability of the induced NRK method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8943
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 6 : pp. 583–590
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Nonlinear stability Neutral delay differential equations Natural Runge-Kutta methods.