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

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


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.