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

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 ε-best approximate solution is constructed skillfully in the reproducing kernel spac...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 112; p. 106732
Main Authors Sun, Hongbo, Mei, Liangcai, Lin, Yingzhen
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2021
Subjects
[formula omitted]-best approximate solution
[formula omitted]-order convergence
Improved Legendre polynomial
Stability
Stability
m-order convergence
ε-best approximate solution
Improved Legendre polynomial
Online AccessGet full text

Cover

More Information
Summary: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 ε-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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106732