Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator

作者：

Highlights：

• A hybrid block integrator for solving second order two-point boundary value problems is presented.

• A theoretical analysis of the method has been done.

• Some numerical experiments have been presented in order to illustrate good performance of the integrator.

摘要

•A hybrid block integrator for solving second order two-point boundary value problems is presented.•A theoretical analysis of the method has been done.•Some numerical experiments have been presented in order to illustrate good performance of the integrator.

论文关键词：Ordinary differential equations,Boundary value problems,Block scheme,Convergence,Optimization strategy

论文评审过程：Received 30 July 2019, Revised 29 December 2021, Accepted 17 January 2022, Available online 2 February 2022, Version of Record 2 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126960