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Table 2 Comparison between with and without Richardson methods of maximum absolute errors for Example 1

From: Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems

εN = 8N = 16N = 32N = 64N = 128N = 256
With Richardson extrapolation
 2−38.4257e− 081.3480e− 092.1109e− 113.3035e− 131.2490e− 147.4385e− 15
 2−58.5202e− 071.4078e− 082.2312e− 103.5109e− 125.4401e− 142.3620e− 14
 2−86.6238e− 051.6978e− 062.8399e− 084.5168e− 107.0878e− 121.0836e− 13
 2−124.5141e− 034.1790e− 042.1462e− 059.9671e− 071.8913e− 083.0955e− 10
Without Richardson extrapolation
 2−31.9663e− 051.2739e− 068.1142e− 085.0815e− 093.1775e− 101.9855e− 11
 2−51.4465e− 049.7270e− 066.1899e− 073.8861e− 082.4324e− 091.5212e− 10
 2−87.1344e− 035.8790e− 043.6784e− 052.3006e− 061.4381e− 079.0025e− 09
 2−127.6315e− 023.7522e− 027.8643e− 036.9834e− 044.4580e− 052.8040e− 06