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Table 7 Numerical results for Example 3

From: Twelfth degree spline with application to quadrature

x Cubic Subbotin spline (Rathod et al. 2010) Our spline (degree 12) Exact
−0.96 0.00159996602042 0.001599965867977 0.001599965867977
−0.92 0.00333302534289 0.003333024742788 0.003333024742788
−0.88 0.00521620933478 0.005216208258150 0.005216208258151
−0.84 0.00726952592022 0.007269524203804 0.007269524203804
−0.80 0.00951662318369 0.009516620655397 0.009516620655397
−0.76 0.01198563460978 0.011985631024242 0.011985631024242
−0.72 0.01471026306531 0.014710258097708 0.014710258097708
−0.68 0.01773118316554 0.017731176373487 0.017731176373487
−0.64 0.02109787092452 0.021097861705018 0.021097861705018
−0.60 0.02487101138281 0.024870998909352 0.024870998909352
−0.56 0.02912569297475 0.029125676114165 0.029125676114165
−0.52 0.03395567758607 0.033955654793668 0.033955654793668
−0.48 0.03947914276296 0.039479111969976 0.039479111969976
−0.44 0.04584642810741 0.045846386655399 0.045846386655399
−0.40 0.05325046504333 0.053250409830185 0.053250409830185
−0.36 0.06194066062908 0.061940588908491 0.061940588908491
−0.32 0.07224083917045 0.072240751098736 0.072240751098736
−0.28 0.08457087983609 0.084570785226588 0.084570785226588
−0.24 0.09946860939441 0.099468543269364 0.099468543269364
−0.20 0.11760046918276 0.117600520709514 0.117600520709514
−0.16 0.13973162302703 0.139731964944293 0.139731964944293
−0.12 0.16659542193349 0.166596253334887 0.166596253334886
−0.08 0.19857766701988 0.198578877966528 0.198578877966530
−0.04 0.23520031780477 0.235201041419030 0.235201041419027
0.00 0.27468081092706 0.274680153389003 0.274680153389003
0.04 0.31416062591739 0.314159265358976 0.314159265358979
0.08 0.35078230627314 0.350781428811479 0.350781428811476
0.12 0.38276433473857 0.382764053443120 0.382764053443120
0.16 0.40962833358333 0.409628341833713 0.409628341833714
0.20 0.43175968738734 0.431759786068493 0.431759786068493
0.24 0.44989165576688 0.449891763508642 0.449891763508642
0.28 0.46478942923129 0.464789521551418 0.464789521551418
0.32 0.47711948282318 0.477119555679270 0.477119555679270
0.36 0.48741966211928 0.487419717869515 0.487419717869515
0.40 0.49610985468976 0.496109896947821 0.496109896947821
0.44 0.50351388804248 0.503513920122607 0.503513920122607
0.48 0.50988117027174 0.509881194808030 0.509881194808030
0.52 0.51540463300912 0.515404651984338 0.515404651984339
0.54 0.52023461579352 0.520234630663842 0.520234630663842
0.60 0.52448929604318 0.524489307868654 0.524489307868654
0.64 0.52826243552178 0.528262445072988 0.528262445072988
0.68 0.53162912256560 0.531629130404519 0.531629130404519
0.72 0.53465004214157 0.534650048680298 0.534650048680298
0.76 0.53737467021086 0.537374675753765 0.537374675753765
0.80 0.53984368134898 0.539843686122609 0.539843686122610
0.84 0.54209077839986 0.542090782574202 0.542090782574202
0.88 0.54414409481617 0.544144098519856 0.544144098519856
0.92 0.54602727870406 0.546027282035218 0.546027282035218
0.96 0.54776033787596 0.547760340910029 0.547760340910029
1.00 0.54936030383282 0.549360306778006 0.549360306778006