A new algorithm based on compressed Legendre polynomials for solving boundary value problems

A new algorithm based on compressed Legendre polynomials for solving boundary value problems

In this paper, we discuss a novel numerical algorithm for solving boundary value problems. We introduce an orthonormal basis generated from compressed Legendre polynomials. This basis can avoid Runge phenomenon caused by high-order polynomial approximation. Based on the new basis, a numerical algori...

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Bibliographic Details
Main Authors: Hui Zhu, Liangcai Mei, Yingzhen Lin
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
compressed legendre polynomials
boundary value problems
convergence analysis
stability analysis
error estimation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022182?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022182?viewType=HTML

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