Bernstein Series Approximation for Dirichlet Problem

BAYKUŞ SAVAŞANERİL N., Hacioglu Z.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.31, sa.2, ss.544-553, 2018 (ESCI, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2018
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.544-553
  • Anahtar Kelimeler: Dirchlet problem, Collocation method, Bernstein series solution, Error analysis
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The basic aim of this paper is to present a novel efficient matrix approach for solving the Dirichlet problem. The method converts the Dirichlet problem to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis is included to demonstrate the validity and applicability of the technique.