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Table 4 Comparison of maximum absolute errors for Example 2

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

N\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.25} \)\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.5} \)\( \varepsilon ={\left(\frac{1}{N}\right)}^{0.75} \)\( \varepsilon ={\left(\frac{1}{N}\right)}^{1.0} \)
Present method
161.3049e− 061.2226e− 061.2374e− 061.6007e− 06
321.7972e− 081.7143e− 082.1783e− 085.6182e− 08
642.6954e− 102.7457e− 105.3161e− 105.7507e− 09
1284.1296e− 124.7784e− 122.1287e− 115.4866e− 10
2566.0396e− 142.8866e− 131.4388e− 125.0873e− 11
Method in [17]    
162.9718e− 044.9658e− 048.9268e− 041.7181e− 03
322.0905e− 054.1607e− 059.0798e− 052.3653e− 04
641.4884e− 063.4999e− 069.8228e− 063.9036e− 05
1281.0650e− 073.0026e− 071.1659e− 067.4775e− 06
2567.6403e− 092.6424e− 081.5321e− 071.5612e− 06