Dissipativity of one-leg methods for neutral delay integro-differential equations

作者：Liu, X Y; Wen, Liping^*

来源：Journal of Computational and Applied Mathematics, 2010, 235(1): 165-173.

DOI：10.1016/j.cam.2010.05.030

• Neutral delay integro-differential equations
• Dynamical systems
• Dissipativity
• One-leg methods
• G-stability
• Numerical stability

This paper is concerned with the numerical dissipativity of a class of nonlinear neutral delay integro-differential equations. The dissipativity results are obtained for G(c, p, q)-algebraically stable one-leg methods when they are applied to the above problems. A numerical example is given to confirm our theoretical results.

• 出版日期2010-11-1
• 单位湘潭大学; 湖南大学