Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales
Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales
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DOI：
10.1016/j.camwa.2007.06.026
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发表时间：
2008-04
期刊：
影响因子：
--
通讯作者：
Peiguang Wang;Haixia Wu;Yonghong Wu
中科院分区：
文献类型：
--
作者：
Peiguang Wang;Haixia Wu;Yonghong Wu
本文讨论了时标上二阶边值问题在上下解耦合下的广义拟线性化方法。该方法的一个尝试是建立生成单调迭代格式的元素迅速收敛到给定问题的唯一解的充分条件。而且，其收敛阶为k（k≥2），是偶数阶的.最后，给出了两个例子来说明我们的结果.
In this paper, for a second-order boundary value problem on time scales, a method of generalized quasilinearization, under coupled upper 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.