Solution of Dirichlet problem for a triangle region in terms of elliptic functions

Nurcan Kurt,Mehmet Sezer

doi:10.1016/j.amc.2006.03.036

Solution of Dirichlet problem for a triangle region in terms of elliptic functions

Nurcan Kurt, Mehmet Sezer

Open Access

https://doi.org/10.1016/j.amc.2006.03.036

Copy DOI

Journal: Applied Mathematics and Computation	Publication Date: May 2, 2006
Citations: 7

Affiliation: Muğla University, Dokuz Eylül University

#Terms Of Elliptic Functions #Solution Of Problem + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

In this paper, the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson) differential equation in a triangle region is expressed in terms of elliptic functions and the solution of problem is based on the Green function, and therefore on elliptic functions. To do this, it is made use of the basic concepts associated with elliptic integrals, conformal mappings and Green functions. An example for the problem in the triangle region is presented as an application of the solution of Dirichlet problem. The equation is solved first by the known Method of Separation of Variables and then in terms of elliptic functions. The results of both methods are compared.

Full Text