An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation

Figure 2

Example 2. The exact and regularized solutions for the different noise levels. (a) 𝑥=0.1, (b) 𝑥=0.3, (c) 𝑥=0.6, and (d) 𝑥=0.9  𝜖=10⁻²,10⁻³, respectively.

(a)

(b)

(c)

(d)