Twelfth degree spline with application to quadrature

Mohammed, P. O.; Hamasalh, F. K.

doi:10.1186/s40064-016-3711-2

SpringerPlus

Table 4 Numerical results for Example 1

From: Twelfth degree spline with application to quadrature

x	Clamped spline	Not a knot spline	Our spline (degree 12)	Exact
1.08	0.03922071396027	0.03922071396027	0.039220713153281	0.039220713153281
1.16	0.07696103950333	0.07696102915780	0.076961041136128	0.076961041136128
1.24	0.11332868156060	0.11332867398715	0.113328685307003	0.113328685307003
1.32	0.14841999962514	0.14841999130891	0.148420005118273	0.148420005118273
1.40	0.18232154982349	0.18232154170628	0.182321556793955	0.182321556793955
1.48	0.21511137139673	0.21511136322620	0.215111379616945	0.215111379616945
1.56	0.24686006864661	0.24686006049037	0.246860077931526	0.246860077931526
1.64	0.27763172640228	0.27763171824221	0.277631736598280	0.277631736598280
1.72	0.30748468876854	0.30748468060950	0.307484699747961	0.307484699747961
1.80	0.33647222496520	0.33647221680588	0.336472236621213	0.336472236621213
1.88	0.36464310134512	0.36464309318587	0.364643113587909	0.364643113587909
1.96	0.39204207502234	0.39204206686307	0.392042087776024	0.392042087776024
2.04	0.41871032165802	0.41871031349876	0.418710334858185	0.418710334858185
2.12	0.44468580766972	0.44468579951046	0.444685821261446	0.444685821261446
2.20	0.47000361530946	0.47000360715019	0.470003629245736	0.470003629245736
2.28	0.49469622759567	0.49469621943641	0.494696241836107	0.494696241836107
2.36	0.51879377890542	0.51879377074616	0.518793793415168	0.518793793415168
2.44	0.54232427607647	0.54232426791721	0.542324290825362	0.542324290825362
2.52	0.56531379408823	0.56531378592897	0.565313809050060	0.565313809050060
2.60	0.58778664975018	0.58778664159092	0.587786664902119	0.587786664902119
2.68	0.60976555629880	0.60976554813954	0.609765571620894	0.609765571620894
2.76	0.63127176136711	0.63127175320785	0.631271776841858	0.631271776841858
2.84	0.65232517042767	0.65232516226841	0.652325186039690	0.652325186039690
2.92	0.67294445750669	0.67294444934743	0.672944473242426	0.672944473242426
3.00	0.69314716471248	0.69314715655322	0.693147180559945	0.693147180559945
3.08	0.71294979190754	0.71294978374828	0.712949807856125	0.712949807856125
3.16	0.73236787767296	0.73236786951370	0.732367893713227	0.732367893713227
3.24	0.75141607256037	0.75141606440110	0.751416088683921	0.751416088683921
3.32	0.77010820549672	0.77010819733746	0.770108221696074	0.770108221696074
3.40	0.78845734409581	0.78845733593655	0.788457360364270	0.788457360364270
3.48	0.80647584953538	0.80647584137612	0.806475865866949	0.806475865866949
3.56	0.82417542657706	0.82417541841780	0.824175442966349	0.824175442966349
3.64	0.84156716923605	0.84156716107678	0.841567185678219	0.841567185678219
3.72	0.85866160254683	0.85866159438757	0.858661619037519	0.858661619037519
3.80	0.87546872081863	0.87546871265937	0.875468737353900	0.875468737353900
3.88	0.89199802272882	0.89199801456956	0.891998039305110	0.891998039305110
3.96	0.90825854356281	0.90825853540355	0.908258560176891	0.908258560176891
4.04	0.92425888487438	0.92425887671512	0.924258901523332	0.924258901523332
4.12	0.94000724181031	0.94000723365105	0.940007258491471	0.940007258491471
4.20	0.95551142831649	0.95551142015722	0.955511445027437	0.955511445027436
4.28	0.97077890041969	0.97077889226042	0.970778917158225	0.970778917158225
4.36	0.98581677775865	0.98581676959939	0.985816794522765	0.985816794522765
4.44	1.00063186352005	1.00063185536077	1.000631880307906	1.000631880307906
4.52	1.01523066291915	1.01523065475995	1.015230679729059	1.015230679729059
4.60	1.02961940035073	1.02961939219125	1.029619417181158	1.029619417181158
4.68	1.04380403532359	1.04380402716516	1.043804052173115	1.043804052173115
4.76	1.05779027728051	1.05779026911814	1.057790294147855	1.057790294147855
4.84	1.07158359939627	1.07158359124860	1.071583616280190	1.071583616280190
4.92	1.08518925143643	1.08518924323388	1.085189268335969	1.085189268335969
5.00	1.09861227175446	1.09861226375673	1.098612288668110	1.098612288668110

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