Mixed regularization methods for the Cauchy problems of the Helmholtz equation

In this paper, two mixed filter functions are applied for the regularization of the Helmholtzequation. Bound of error is presented under a priori bound respect to the exact solution. Atlast, the numerical experiment shows the efficiency and effectiveness of these methods.

Keywords:

Ill-posed , Helmholtz equation , Regularization method , Cauchy problem , mixed filter function