Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales

被引：10
|
作者：
Wang, Peiguang [1 ]
Wu, Haixia [2 ]
Wu, Yonghong [3 ]
机构：
[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China
[2] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China
[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 08期
关键词：
timescales; boundary value problem; quasilinearization; quadratic convergence; coupled upper and lower solutions;
D O I：
10.1016/j.camwa.2007.06.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for a second-order boundary value problem on time scales, a method of generalized quasilinearization, under Coupled Lipper and lower solutions, is discussed. An attempt for the method is to establish sufficient conditions for generating monotone iterative schemes whose elements converge rapidly to the unique Solution of the given problem. Furthermore, the convergence is of order k (k >= 2), which is even. Finally, two examples are provided to illustrate Our results. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：1693 / 1705
页数：13
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