An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations
作者:
Highlights:
•
摘要
This paper deals with stability of the extended Runge–Kutta methods for nonlinear neutral delay-integro-differential equations. The stability results in the reference [Y. Yu, L. Wen, S. Li, Nonlinear stability of Runge–Kutta methods for neutral delay integro-differential equations, Appl. Math. Comput. 191 (2007) 543–549] are improved. With this improvement, several new numerical stability criteria are obtained, it is proven that the extended Runge–Kutta methods are globally and asymptotically stable under the suitable conditions.
论文关键词:Nonlinear neutral delay-integro-differential equations,Numerical stability,Extended Runge–Kutta methods
论文评审过程:Available online 28 May 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.05.048