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

Minqiang Xu, Jing Niu and Li Guo

Mathematical Problems in Engineering, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6280372

DOI: 10.1155/2020/6280372

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