Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation

作者：

Highlights：

• Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.

• Zeros of Chebyshev polynomials are used as collocation points.

• Theoretical results are verified for two test problems.

摘要

Highlights•Asymptotic convergence of cubic Hermite collocation method for PDEs is established of order 2.•Zeros of Chebyshev polynomials are used as collocation points.•Theoretical results are verified for two test problems.

论文关键词：Hermite basis,Spectral norms,Chebyshev polynomials,Collocation points,Error estimates

论文评审过程：Available online 10 July 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.05.073