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Table 3 Comparison of relative errors for Example 1

From: Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder

r

ε  = 0.005

ε  = 0.05

0.2

0.6

0.9

0.2

0.6

0.9

RES (a priori)

0.0129

0.0588

0.1759

0.1191

0.1359

0.2093

RES (a posteriori)

0.0117

0.0538

0.1362

0.1147

0.1228

0.1721