Theory and Modern Applications
Table 2 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 | 4.8386e-004 | 1.3520e−001 | – |
2−4 | 3.0735e-005 | 1.3509e−001 | 3.9767 |
2−5 | 1.9317e-006 | 1.3487e−001 | 3.9920 |
2−6 | 1.2167e-007 | 1.3501e−001 | 3.9892 |
2−7 | 7.8016e-009 | 1.3551e−001 | 3.9626 |