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Table 1 Accuracies in solution values at \(\pmb{\varepsilon= 10^{-2}}\) in Example 5.1

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

L  + 1 \(\boldsymbol {\tilde{\alpha}}\) \(\boldsymbol {\tilde{\beta}}\) \(\boldsymbol {\mathcal{E}_{\infty}}\) \(\boldsymbol {\mathcal{E}_{2}}\) \(\boldsymbol {\Theta_{\infty}}\) \(\boldsymbol {\Theta_{2}}\)
4 0 0 7.62e−01 4.70e−01
8 0 0 3.28e−01 1.24e−01 1.2 1.9
16 0 0 6.59e−02 1.68e−02 2.3 2.9
32 0 0 6.69e−03 1.28e−03 3.3 3.7
4 −0.900 −0.820 1.55e−00 6.07e−01
8 −0.520 −0.340 7.39e−02 3.93e−02 4.4 3.9
16 −0.060 −0.090 3.28e−03 1.67e−03 4.5 4.6
32 −0.002 −0.007 4.01e−04 8.71e−05 3.1 4.3