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

Authors:
Xueyong Liu;Liping Wen
Affiliations:
School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, PR China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan, 411105, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

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.