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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