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Bernstein Series Approximation for Dirichlet Problem

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

Nurcan Baykuş Savaşaneril Zeynep Hacıoğlu

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).

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

Nurcan Baykuş Savaşaneril Zeynep Hacıoğlu

Abstract

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).
There are 1 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Nurcan Baykuş Savaşaneril

Zeynep Hacıoğlu

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 31 Issue: 2

Cite

APA Savaşaneril, N. B., & Hacıoğlu, Z. (2018). Bernstein Series Approximation for Dirichlet Problem. Gazi University Journal of Science, 31(2), 544-553.
AMA Savaşaneril NB, Hacıoğlu Z. Bernstein Series Approximation for Dirichlet Problem. Gazi University Journal of Science. June 2018;31(2):544-553.
Chicago Savaşaneril, Nurcan Baykuş, and Zeynep Hacıoğlu. “Bernstein Series Approximation for Dirichlet Problem”. Gazi University Journal of Science 31, no. 2 (June 2018): 544-53.
EndNote Savaşaneril NB, Hacıoğlu Z (June 1, 2018) Bernstein Series Approximation for Dirichlet Problem. Gazi University Journal of Science 31 2 544–553.
IEEE N. B. Savaşaneril and Z. Hacıoğlu, “Bernstein Series Approximation for Dirichlet Problem”, Gazi University Journal of Science, vol. 31, no. 2, pp. 544–553, 2018.
ISNAD Savaşaneril, Nurcan Baykuş - Hacıoğlu, Zeynep. “Bernstein Series Approximation for Dirichlet Problem”. Gazi University Journal of Science 31/2 (June 2018), 544-553.
JAMA Savaşaneril NB, Hacıoğlu Z. Bernstein Series Approximation for Dirichlet Problem. Gazi University Journal of Science. 2018;31:544–553.
MLA Savaşaneril, Nurcan Baykuş and Zeynep Hacıoğlu. “Bernstein Series Approximation for Dirichlet Problem”. Gazi University Journal of Science, vol. 31, no. 2, 2018, pp. 544-53.
Vancouver Savaşaneril NB, Hacıoğlu Z. Bernstein Series Approximation for Dirichlet Problem. Gazi University Journal of Science. 2018;31(2):544-53.