A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems
Joint Authors
Lin, Yingzhen
Xu, Minqiang
Guo, Li
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xu, Minqiang& Lin, Yingzhen& Guo, Li. 2020. A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1196650
Modern Language Association (MLA)
Xu, Minqiang…[et al.]. A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1196650
American Medical Association (AMA)
Xu, Minqiang& Lin, Yingzhen& Guo, Li. A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1196650
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196650
