An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

作者：

Highlights：

• We obtain a new algorithm to find semi-analytical solutions of MPBVPs.

• This algorithm can solve the linear, nonlinear, singular and nonsingular problems.

• Convergence of the method is proved and accuracy of the method is high.

• The proposed method is very useful, reliable, and flexible for solving MPBVPs.

摘要

•We obtain a new algorithm to find semi-analytical solutions of MPBVPs.•This algorithm can solve the linear, nonlinear, singular and nonsingular problems.•Convergence of the method is proved and accuracy of the method is high.•The proposed method is very useful, reliable, and flexible for solving MPBVPs.

论文关键词：Multi-point boundary value problem,Reproducing kernel Hilbert space method,Residual function,Collocation method,Least squares method

论文评审过程：Received 8 May 2016, Revised 22 April 2018, Accepted 28 April 2018, Available online 21 May 2018, Version of Record 21 May 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.04.074