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Theory and Modern Applications

Table 4 The \(rmse\) and the least value of (52) for \(p \in \{0,0.01\%,0.1\% \}\), with \(\lambda =10^{-10}, 10^{-9}, 10^{-8}, 10^{-7}\), and 10−6 at the last iteration for Example 2

From: An inverse problem of fourth-order partial differential equation with nonlocal integral condition

p

λ

rmse(q)

Minimum values of (52)

0

0

0.1916

2.9E–8

10−10

0.0731

3.6E–7

10−9

0.0549

2.2E–6

10−8

0.0591

1.9E–5

0.01%

0

1.7669

1.9E–7

10−9

0.0693

3.5E–6

10−8

0.0688

2.1E–5

10−7

0.1369

1.8E–4

0.1%

0

24.5476

2.4E–6

10−8

0.1939

1.5E–4

10−7

0.1678

3.1E–4

10−6

0.3608

1.6E–3