Bernstein Series Approximation for Dirichlet Problem

BAYKUŞ SAVAŞANERİL N., Hacioglu Z.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.2, pp.544-553, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2018
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.544-553
  • Keywords: Dirchlet problem, Collocation method, Bernstein series solution, Error analysis, ELLIPTIC FUNCTIONS, EQUATIONS, REGION, TERMS
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.