Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation
In this paper, the Cauchy problem for the modified Helmholtz equation in a rectangular domain is investigated. We use a quasi-reversibility method and a truncation method to solve it and present convergence estimates under two different a priori boundedness assumptions for the exact solution. The numerical results show that our proposed numerical methods work effectively. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
truncation method cauchy problem modified helmholtz equation quasi-reversibility method convergence estimates