A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems

被引：2

作者：

Xu, Minqiang ^{[1
]}

Niu, Jing ^{[2
]}

Guo, Li ^{[3
]}

机构：

[1] Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Peoples R China

[2] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Peoples R China

[3] Sun Yat Sen Univ, Sch Data & Comp Sci, Guangzhou 510006, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

关键词：

REPRODUCING KERNEL-METHOD; EQUATIONS; ALGORITHM; SPACE;

D O I：

10.1155/2020/6280372

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with a high-order numerical scheme for nonlinear systems of second-order boundary value problems (BVPs). First, by utilizing quasi-Newton's method (QNM), the nonlinear system can be transformed into linear ones. Based on the standard Lobatto orthogonal polynomials, we introduce a high-order Lobatto reproducing kernel method (LRKM) to solve these linear equations. Numerical experiments are performed to investigate the reliability and efficiency of the presented method.

引用

页数：7

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