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

作者：Yuan, Haiyan; Zhao, Jingjun^*; Xu, Yang

来源：Abstract and Applied Analysis, 2012, 854517.

DOI：10.1155/2012/854517

• DELAY INTEGRODIFFERENTIAL EQUATIONS
• ASYMPTOTIC STABILITY
• NUMERICAL-METHODS
• B-CONVERGENCE
• CONTRACTIVITY

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.

• 出版日期2012
• 单位哈尔滨工业大学; 黑龙江工程学院