A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs

被引：15
作者：
Sun, Hongbo [1 ]
Mei, Liangcai [1 ]
Lin, Yingzhen [1 ]
机构：
[1] Beijing Inst Technol, Zhuhai Campus, Zhuhai 519088, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 112卷
关键词：
Improved Legendre polynomial; m-order convergence; Stability; epsilon-best approximate solution;
D O I：
10.1016/j.aml.2020.106732
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs is constructed. The method of this article is an improved Legendre orthogonal polynomial algorithm, and the epsilon-best approximate solution is constructed skillfully in the reproducing kernel space. Compared with other methods, this method has the advantages of high approximation, m-order convergence and strong stability. Some numerical examples show the effectiveness and stability of the algorithm. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：9
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