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Table 1 \(k=0.5\), the relative root mean square errors \(\epsilon(u)\) for various noise levels

From: A quasi-reversibility regularization method for a Cauchy problem of the modified Helmholtz-type equation

ε

0.0001

0.001

0.005

0.01

0.05

p = 1

0.0014

0.0037

0.0117

0.0270

0.0814

p = 2

0.0025

0.0073

0.0205

0.0344

0.1184

p = 3

0.0046

0.0129

0.0311

0.0492

0.1323