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Table 1e 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 5.51e–04 4.26e–02 9.99-00
8 2.78e–05 4.3 2.76e–03 3.9 2.28-00 2.1
16 6.45e–07 5.4 1.67e–04 4.0 4.58e–01 2.3