Theory and Modern Applications
Table 4 Error behavior with Dirichlet boundary condition for \(\tau =\frac{1}{1000}\)
From: High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation
h | \(E_{\infty }(h,\tau ) \) | \(\mathit{Mass}_{h} \) | Order2≈ |
|---|---|---|---|
2−3 | 4.2467e−004 | 2.6927e−002 | – |
2−4 | 2.9237e−005 | 2.7852e−002 | 3.8605 |
2−5 | 2.0005e−006 | 2.8751e−002 | 3.8694 |
2−6 | 1.3253e−007 | 2.8845e−002 | 3.9160 |
2−7 | 8.5850e−009 | 2.8021e−002 | 3.9484 |