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Table 2a Errors and order for UM-FOCS and EEG-TOCS in Example 5.2

From: Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation

L + 1 p q r \(\mathfrak {l}_{2}^{ ( I,J,K )}\) \(\varTheta _{\infty }\) p q r \(\mathfrak {l}_{2}^{ ( I,J,K )}\) \(\varTheta _{\infty }\)
4 1.0 1.0 1.0 1.81e–01 1.40 1.40 1.30 1.89e–01
8 1.0 1.0 1.0 3.65e–02 2.3 1.30 1.20 1.20 1.21e–02 4.0
16 1.0 1.0 1.0 3.40e–03 3.4 1.10 1.10 1.40 8.39e–04 3.8
32 1.0 1.0 1.0 2.15e–04 4.0 1.10 1.10 1.03 3.90e–05 4.4