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.

引用

页数：9

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