GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.2, pp.544-553, 2018 (ESCI)
Article / Article
GAZI UNIVERSITY JOURNAL OF SCIENCE
Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
Dirchlet problem, Collocation method, Bernstein series solution, Error analysis, ELLIPTIC FUNCTIONS, EQUATIONS, REGION, TERMS
Dokuz Eylül University Affiliated:
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.