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Table 3 Accuracies in solution values with uniform meshes in Example 5.3

From: A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

L  + 1 \(\boldsymbol {\tilde{\alpha}}\) \(\boldsymbol {\tilde{\beta}}\) \(\boldsymbol {\mathcal{E}_{\infty}}\) \(\boldsymbol {\mathcal{E}_{2}}\) \(\boldsymbol {\Theta_{\infty}}\) \(\boldsymbol {\Theta_{2}}\)
\(R_{e} =1\)       
4 0 0 4.15e+01 2.32e+01
8 0 0 3.63e+01 1.78e+01 0.1 0.3
16 0 0 6.10e−01 2.66e−01 5.9 6.1
\(R_{e} =10\)       
4 0 0 3.00e+01 1.19e+01
8 0 0 2.62e+01 1.17e+01 0.2 0.03
16 0 0 1.03e−00 4.63e−01 4.7 4.7
\(R_{e} = 10^{3}\)       
4 0 0 1.84e+01 8.95e+00
8 0 0 1.16e+01 4.85e+00 0.6 0.8
16 0 0 4.95e+00 8.42e−01 1.2 2.5
\(R_{e} = 10^{4}\)       
4 0 0 1.80e+01 8.84e+00
8 0 0 1.14e+01 4.75e+00 0.6 0.8
16 0 0 4.86e+00 8.43e−01 1.2 2.5