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, Yunanistan, 19 - 25 Eylül 2016, cilt.1863, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992470
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Bernoulli polynomials, Collocation methods, Partial differential equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.