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

Figure 3

Example 2. The exact and regularized solutions at (a) 𝑥=0.1, (b) 𝑥=0.3, (c) 𝑥=0.6, and (d) 𝑥=0.9 for the same noise level 𝜖=10⁻² but different a priori bounds 𝐸=0.07,0.7,7, respectively.

(a)

(b)

(c)

(d)