A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems-Reference-Cited by-同舟云学术

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

Published:2020-03-09 Issue: Volume:2020 Page:1-7
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Xu Minqiang¹,Niu Jing²^ORCID,Guo Li³

Affiliation:

1. College of Science, Zhejiang University of Technology, Hangzhou 310023, China

2. School of Mathematics and Sciences, Harbin Normal University, Harbin 150025, China

3. School of Data and Computer Science, Sun Yat-Sen University, Guangzhou 510006, China

Abstract

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.

Funder

College Innovative Talent Foundation of Heilongjiang Province

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/6280372.pdf

Reference23 articles.

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