Bernstein Series Approximation for Dirichlet Problem

Year 2018, Volume: 31 Issue: 2, 544 - 553, 01.06.2018

Nurcan Baykuş Savaşaneril Zeynep Hacıoğlu

https://izlik.org/JA47AF27BC

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.

Keywords

Dirchlet problem , Collocation method , Bernstein series solution , Error analysis

References

• Ahmadi, M.R., Adibi, H., “The Chebyshev tau technique for the solution of Laplace’s equation”, Appl. Math. Comput. 184(2): 895–900, (2007).