Second-order upwind difference scheme for a singularly perturbed problem with integral boundary condition in netural network

被引：0
|
作者：
Cen, Zhongdi [1 ]
Cai, Xin [2 ]
机构：
[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Peoples R China
[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
KNOWLEDGE-BASED INTELLIGENT INFORMATION AND ENGINEERING SYSTEMS: KES 2007 - WIRN 2007, PT II, PROCEEDINGS | 2007年 / 4693卷
基金：
中国国家自然科学基金;
关键词：
singular perturbation; upwind difference scheme; Shishkin mesh; uniform convergence; EQUATIONS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we consider a first order singularly perturbed quasilinear boundary value problem with integral boundary condition which arises in netural network. The problem is discretized using a hybrid upwind difference scheme on a Shishkin mesh. Applying the discrete maximum principle and barrier function techniques we show that the scheme is almost second order convergent, in the discrete maximum norm, independently of singular perturbation parameter. Numerical experiments support these theoretical results.
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收藏
页码：175 / 181
页数：7
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