Theory and Modern Applications
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
| Â | \(x_{i-3}\) | \(x_{i-2}\) | \(x_{i-1}\) | \(x_{i}\) | \(x_{i+1}\) | \(x_{i+2}\) | \(x_{i+3}\) |
|---|---|---|---|---|---|---|---|
\(Qs_{i}(x)\) | 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 |