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Table 1f 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 4.69e–04 4.02e–02 9.99e–00
8 2.31e–05 4.30 2.55e–03 4.0 2.26e–00 2.1
16 1.30e–06 4.10 1.51e–04 4.1 4.54e–01 2.3