Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients

作者：

Highlights：

• Three-point boundary value problem is investigated and solved numerically.

• A novel, simple and effective numerical method is proposed.

• The convergence and error estimate of approximate solution are given.

• Numerical results are carried out to verify the proposed methods.

摘要

•Three-point boundary value problem is investigated and solved numerically.•A novel, simple and effective numerical method is proposed.•The convergence and error estimate of approximate solution are given.•Numerical results are carried out to verify the proposed methods.

论文关键词：Three-point boundary value problems,Variable coefficients,Fredholm integral equation,Approximate solution,Convergence and error estimate

论文评审过程：Available online 16 September 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.08.076