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- Title
A new method for high-order boundary value problems.
- Authors
Zhang, Yingchao; Mei, Liangcai; Lin, Yingzhen
- Abstract
This paper presents a numerical algorithm for solving high-order BVPs. We introduce the construction method of multiscale orthonormal basis in 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.
- Subjects
NUMERICAL solutions to boundary value problems; BOUNDARY value problems; ORTHONORMAL basis
- Publication
Boundary Value Problems, 2021, Vol 2021, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-021-01527-4