A new spectral method for a class of linear boundary value problems

作者：Costabile F; Napoli A^*

来源：Journal of Computational and Applied Mathematics, 2016, 292: 329-341.

DOI：10.1016/j.cam.2015.07.015

• Boundary value problem
• Bernoulli polynomials
• Spectral methods

In this paper we use Bernoulli polynomials to derive a new spectral method to find the numerical solutions of second order linear boundary value problems. The proposed method has been applied to several BVPs with Dirichlet, Neumann and mixed types boundary conditions. Numerical examples provide favorable comparisons with other existing methods.

• 出版日期2016-1-15