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Table 1 Relative errors RES with \(\pmb{r=0.2}\) , \(\pmb{\varepsilon=0.001}\) , \(\pmb{M=31}\) for Example 1

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

K

99

109

139

169

199

RES (a priori)

0.0038

0.0036

0.0036

0.0034

0.0035

RES (a posteriori)

0.0037

0.0035

0.0036

0.0033

0.0038