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Table 5 The absolute error ratios at some grid points on \(t=1\) and the orders \(p_{1}\), \(p_{2}\) for Example 3

From: Implicit methods for the first derivative of the solution to heat equation

x \(r_{1}\) \(p_{1}\) \(r_{2}\) \(p_{2}\)
0.125 3.9544688 1.9835 3.9798658 1.9927
0.25 3.9607102 1.9858 3.9774606 1.9919
0.375 3.9675005 1.9882 3.9838160 1.9942
0.5 3.9777172 1.9917 3.9902057 1.9965
0.625 3.9893770 1.9962 3.9988519 1.9996
0.75 4.0086237 2.0031 4.0096819 2.0035
0.875 4.0379310 2.0136 4.0207972 2.0075