A Wavelet Method for the Cauchy Problem for the Helmholtz Equation

Figure 4

(a) Exact solution 𝑣(1,⋅); (b) unregularized solution reconstructed from 𝑔_𝑚 for 𝑥=1; (c) regularized solution reconstructed from 𝑔_𝑚 for 𝑥=1 and 𝐽^†=4; (d) the difference between the regularization and the exact solution.

(a)

(b)

(c)

(d)