Numerical solution of fourth-order BVPs by using Lidstone-collocation method

作者：

Highlights：

• New collocation method for solving fourth-order Boundary value problems.

• Piecewise interpolation with Lidstone interpolating functions.

• Lidstone first type polynomials in the interpolating function.

• High accuracy solution of fourth-order BVPs both in linear and nonlinear case.

• An easy and efficient method to implement.

• Extension of Lidstone interpolation theory.

摘要

•New collocation method for solving fourth-order Boundary value problems.•Piecewise interpolation with Lidstone interpolating functions.•Lidstone first type polynomials in the interpolating function.•High accuracy solution of fourth-order BVPs both in linear and nonlinear case.•An easy and efficient method to implement.•Extension of Lidstone interpolation theory.

论文关键词：Boundary value problem,Lidstone polynomials,Piecewise interpolation

论文评审过程：Received 20 September 2021, Revised 11 February 2022, Accepted 1 March 2022, Available online 15 March 2022, Version of Record 15 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127055