Bernstein Series Approximation for Dirichlet Problem

Authors : Nurcan Baykuş SAVAŞANERİL, Zeynep HACIOĞLU

Pages : 544-553

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Publication Date : 2018-06-01

Article Type : Research Paper

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