Author:
Zhang Yingchao,Mei Liangcai,Lin Yingzhen
Abstract
AbstractThis paper presents a numerical algorithm for solving high-order BVPs. We introduce the construction method of multiscale orthonormal basis in $W^{m}_{2}[0,1]$
W
2
m
[
0
,
1
]
. Based on the orthonormal basis, the numerical solution of the boundary value problem is obtained by finding the ε-approximate solution. In addition, the convergence order, stability, and time complexity of the method are discussed theoretically. At last, several numerical experiments show the feasibility of the proposed method.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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