A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation

Table 3

Relative errors reff(𝑓(𝑥)) with 𝑘=2, 𝑀=100, and 𝑁=10, for different 𝑝 and 𝜀.

reff(𝑓(𝑥))	𝑝=0	𝑝=1/2	𝑝=1	𝑝=2	𝑝=4	𝑝=8	𝑝=10
𝜀=0.1	0.1660	0.1345	0.0564	0.0241	0.0097	0.0076	0.0223
𝜀=0.01	0.0283	0.0308	0.0221	0.0040	0.0063	0.0033	0.0021
𝜀=0.001	0.0026	0.0048	0.0030	0.0018	0.0011	1.4765𝑒−004	1.3137𝑒−004