The Numerical Solution of the Exterior Boundary Value Problems for the Helmholtz's Equation for the Pseudosphere

Authors

Yajni Warnapala, Roger Williams UniversityFollow
Raveena Siegel, Roger Williams UniversityFollow
Jane Pleskunas, Roger Williams UniversityFollow

Document Type

Article

Publication Date

2011

Comments

Published in: International Journal of Applied Mathematics, Vo. 41, No. 2, 2011.

Abstract

In this paper, the global Galerkin method is used to numerically solve the exterior Neumann and Dirichlet problems for the Helmholtz equation for the Pseudosphere in three dimensions based on Jones' modified integral equation approach. Warnapala and Morgan have used this method for the Oval of Cassini and obtained good results. Theoretical and computational details of the method for small values of k for the pseudosphere are presented.

Recommended Citation

Warnapala, Yajni, Raveena Siegel, and Jane Pleskunas. 2011. "The numerical solution of the exterior boundary value problems for the Helmholtz's Equation for the Pseudosphere." International Journal Of Applied Mathematics 41 (2): 106-111.