Analytic solution for the dirichlet problem in 2-D
Journal of Computational and Theoretical Nanoscience, vol.15, no.2, pp.611-615, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 2
- Publication Date: 2018
- Doi Number: 10.1166/jctn.2018.7133
- Journal Name: Journal of Computational and Theoretical Nanoscience
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.611-615
- Keywords: Dirichlet problem, Elliptic function, Elliptic integral, Green function
- Dokuz Eylül University Affiliated: Yes
Abstract
Copyright © 2018 American Scientific Publishers All rights reserved.A broad class of steady-state physical problems can be reduced to finding the harmonic functions that satisfy certain boundary conditions. A fundamental equation of applied mathematics is Laplace equation. This equation models important phenomena in engineering and physics, Laplace equation with satisfied boundary values is known as the Dirichlet problem. In this study, an alternative method is presented for the solution of the Dirichlet problem in a cut-ring region and the solution function of the problem is based on the Green function, and therefore on elliptic functions.