Table 6 Numerical results of u at \(t=1\)
m × n | \(\|u^{n}-U^{n}_{h}\|_{1}\) | order | \(\|I_{h}u^{n}-U^{n}_{h}\|_{1}\) | order | \(\|u^{n}-I_{2h}U^{n}_{h}\|_{1}\) | order |
|---|---|---|---|---|---|---|
16 × 16 | 8.0941 | / | 1.5482 | / | 1.6887 | / |
32 × 32 | 4.0095 | 1.0134 | 4.9625e−01 | 1.6414 | 5.2125e−01 | 1.6959 |
64 × 64 | 1.9943 | 1.0075 | 1.1871e−01 | 2.0636 | 1.2037e−01 | 2.1144 |
128 × 128 | 9.9582e−01 | 1.0019 | 1.6704e−02 | 2.8291 | 1.6761e−02 | 2.8442 |