Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations

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• 作者：Liping Wen ; ^{lpwen@xtu.edu.cn} ; Qing Liao
• 关键词：65L05 ; 65L06 ; 65L20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：26-37
• 全文大小：1201 K
• 卷排序：318

文摘

This paper is concerned with the dissipativity of a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity result of the theoretical solution for this class problem is presented. A type of extended one-leg methods is suggested for the FIDEs. It is shown under suitable condition that a G(c,p,0)G(c,p,0)-algebraically stable one-leg method is dissipative when applied to the above problem. Numerical examples are given to illustrate the correctness of our theoretical results.