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Table 1 The \(Qs_{i}\), \(Qs'_{i}\), \(Qs''_{i}\), \(Qs'''_{i}\) and \(Qs^{(iv)}_{i}\)

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

  \(x_{i-3}\) \(x_{i-2}\) \(x_{i-1}\) \(x_{i}\) \(x_{i+1}\) \(x_{i+2}\) \(x_{i+3}\)
\(Qs_{i}(x)\) 0 1 26 66 26 1 0
\(Qs'_{i}(x)\) 0 \(\tau _{1}\) \(10 \tau _{1}\) 0 \(-10 \tau _{1}\) \(-\tau _{1}\) 0
\(Qs_{i}''(x)\) 0 \(\tau _{2}\) \(2\tau _{2}\) \(-6\tau _{2}\) \(2\tau _{2}\) \(\tau _{2}\) 0
\(Qs'''_{i}(x)\) 0 \(\tau _{3}\) \(-2\tau _{3}\) 0 \(2\tau _{3}\) \(-\tau _{3}\) 0
\(Qs^{(iv)}_{i}(x)\) 0 \(\tau _{4}\) \(-2\tau _{4}\) \(6\tau _{4}\) \(-2\tau _{4}\) \(\tau _{4}\) 0