Nonlinear Stability and D-Convergence of Additive Runge-Kutta Methods for Multidelay-Integro-Differential Equations

Haiyan Yuan, Jingjun Zhao and Yang Xu

Abstract and Applied Analysis, 2012, vol. 2012, 1-22

Abstract:

This paper is devoted to the stability and convergence analysis of the Additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of multidelay-integro-differential equations (MDIDEs). GDN-stability and D-convergence are introduced and proved. It is shown that strongly algebraically stability gives D-convergence, DA- DAS- and ASI-stability give GDN-stability. A numerical example is given to illustrate the theoretical results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:854517

DOI: 10.1155/2012/854517

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