The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation

In this paper, the Cauchy problem of inhomogeneous Helmholtz equation is investigated. This problem is ill-posed and the truncation method is used to solve this inverse problem. Under the a priori and a posteriori parameter choice rules, the error estimates between the regularization solution and the exact solution is obtained, respectively. Numerical examples show that the truncation method works effectively.