An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations

作者：Zhang Chengjian^*; Qin Tingting; Jin Jie

来源：Applied Mathematics and Computation, 2009, 215(2): 548-556.

DOI：10.1016/j.amc.2009.05.048

• Nonlinear neutral delay-integro-differential equations
• Numerical stability
• Extended Runge-Kutta methods

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.

• 出版日期2009-9-15
• 单位华中科技大学