Convergence of one-leg methods for nonlinear neutral delay integro-differential equations  

作　　者：WANG WanSheng LI ShouFu 

机构地区：[1]School of Mathematics and Computational Sciences,Changsha University of Science and Technology,Changsha 410004,China [2]School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China

出　　处：《Science China Mathematics》2009年第8期1685-1698,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10871164);the Natural Science Foundation of Hunan Province (Grant No. 08JJ6002);the Scientific Research Fund of Changsha University of Science and Technology (Grant No. 1004259)

摘　　要：Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs if and only if it is A-stable and consistent of order p in classical sense for ODEs, where p = 1, 2. A numerical example that confirms the theoretical results is given in the end of this paper.Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs if and only if it is A-stable and consistent of order p in classical sense for ODEs, where p = 1, 2. A numerical example that confirms the theoretical results is given in the end of this paper.

关 键 词：nonlinear neutral delay integro-differential equations CONVERGENCE one-leg methods 65R20 65L05 65L20 34K40 

分 类 号：O175.5[理学—数学]