An Integral Equations Method for the Cauchy Problem Connected with the Helmholtz Equation

الملخص EN

We are concerned with the Cauchy problem connected with the Helmholtz equation.

We propose a numerical method, which is based on the Helmholtz representation, for obtaining an approximate solution to the problem, and then we analyze the convergence and stability with a suitable choice of regularization method.

Numerical experiments are also presented to show the effectiveness of our method.