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Table 2c 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 3.37e–01 1.59 1.60 1.60 3.61e–01
8 1.0 1.0 1.0 1.37e–01 1.3 1.40 1.40 1.40 2.82e–02 3.7
16 1.0 1.0 1.0 2.57e–02 2.4 1.12 1.21 1.21 1.84e–03 3.9
32 1.0 1.0 1.0 2.40e–03 3.4 1.05 1.06 1.05 2.44e–04 3.1