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

Table 1

The errors between the exact and approximate solutions of Example 1, with 𝑘=1 at 𝑥=0.9.

𝜖	1𝑒−4	1𝑒−3	1𝑒−2	1𝑒−1
𝑚	4909	534	51	4
𝑒𝑎(𝑢)	0.4435	0.5194	0.8220	2.1846
𝑒𝑟(𝑢)	0.1021	0.1196	0.1893	0.5031