Numerical solutions for Helmholtz equations using Bernoulli polynomials

Bicer K. E., Yalcinbas S.

International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19 - 25 September 2016, vol.1863, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1863
  • Doi Number: 10.1063/1.4992470
  • City: Rhodes
  • Country: Greece
  • Keywords: Bernoulli polynomials, Collocation methods, Partial differential equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

This paper reports a new numerical method based on Bernoulli polynomials for the solution of Helmholtz equations. The method uses matrix forms of Bernoulli polynomials and their derivatives by means of collocation points. Aim of this paper is to solve Helmholtz equations using this matrix relations.