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

• F. Costabile ^[1] ; A. Napoli ^[1]
  1. [1] University of Calabria

     University of Calabria

     Cosenza, Italia

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 329-341
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.07.015
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• Resumen

  • 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.