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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Liu, X. Y.²  Wen, Liping¹ 

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Hunan, Peoples R China

关键词: Neutral delay integro-differential equations;    Dynamical systems;    Dissipativity;    One-leg methods;    G-stability;    Numerical stability;   

DOI  :  10.1016/j.cam.2010.05.030

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free