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Table 1a Errors and order for UM-FOCS in Example 5.1

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

  τ = 1.0 τ = 0.1 τ = 0.01
L + 1 \(\mathfrak {l}_{2}^{ ( I,J,K )}\) \(\varTheta _{2}\) \(\mathfrak {l}_{2}^{ ( I,J,K )}\) \(\varTheta _{2}\) \(\mathfrak {l}_{2}^{ ( I,J,K )}\) \(\varTheta _{2}\)
4 5.67e–04 4.36e–02 1.02e+01
8 2.86e–05 4.3 2.82e–03 4.0 2.32e+00 2.1
16 6.55e–07 5.4 1.70e–04 4.0 4.65e–01 2.3