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Table 5 The numerical solution and exact solution of Example 2

From: Twelfth degree spline with application to quadrature

u Exact solution Approximation solution Absolute error
0.0 2 2 0
0.1 2.464100000000001 2.464100000000000 4.440892098500626E−16
0.2 3.073600000000000 3.073600000000000 4.440892098500626E−16
0.3 3.856100000000001 3.856100000000001 0
0.4 4.841599999999999 4.841600000000001 1.776356839400251E−15
0.5 6.062500000000000 6.062500000000000 0
0.6 7.553600000000001 7.553600000000000 8.881784197001252E−16
0.7 9.352099999999998 9.352100000000000 1.776356839400251E−15
0.8 11.497600000000002 11.497600000000000 1.776356839400251E−15
0.9 14.032099999999998 14.032100000000000 1.776356839400251E−15
1.0 17 17 0