A new method for high-order boundary value problems

被引：5

作者：

Zhang, Yingchao ^{[1
]}

Mei, Liangcai ^{[1
]}

Lin, Yingzhen ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Appl Sci & Civil Engn, Zhuhai Campus, Zhuhai, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期

关键词：

Multiscale orthonormal basis; High-order BVPs; Convergence order; Stability; FREDHOLM INTEGRODIFFERENTIAL EQUATIONS; SOLVING SYSTEMS; DIFFERENTIAL-EQUATIONS; COLLOCATION APPROACH; NUMERICAL-SOLUTION;

D O I：

10.1186/s13661-021-01527-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 epsilon-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.

引用

页数：13

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