We want )to show that as we set n = six, the B-poly
We want )to show that as we set n = six, the B-poly basis both x and t variables. Here, we choose to show that as we set n = six, the in Example four; set would have only seven B-polys in it. We performed the calculationsB-poly basis set would have only seven B-polys in it. We performed theof the order of 10-3 . Subsequent, we it can be observed that the absolute error among options is calculations in Example 4; it is observed that the absolute give amongst solutions is of the order error Subsequent, we used n employed n = 10, which would error us 11 B-poly sets. The absoluteof 10-3. among solutions= ten, which would give us 11 B-poly sets. The absolute error amongst solutions reduces towards the amount of 10-6. Finally, we use n = 15, which would comprise 16 B-polys within the basis set. It’s observed the error reduces to 10-7. We note that n = 15 results in a 256 256-dimensionalFractal Fract. 2021, 5,16 ofFractal Fract. 2021, 5, x FOR PEER Review Fractal Fract. 2021, five, x FOR PEER REVIEW17 of 20 17 ofreduces for the level of 10-6 . Finally, we use n = 15, which would comprise 16 B-polys within the basis set. It’s observed the error reduces to 10-7 . We note that n = 15 leads to a operational matrix, that is currently a big matrix to Fmoc-Gly-Gly-OH web invert. We matrix to invert. We had operational matrix, which is already a sizable matrix to invert. We had to boost the accu256 256-dimensional operational matrix, which can be already a big had to improve the accuracy with the 3-Chloro-5-hydroxybenzoic acid site program to in the this matrix inside the this matrix inside the Mathematica symbolic to enhance the accuracy handleprogram to deal with Mathematica symbolic program. Beyond racy from the program to deal with this matrix in the Mathematica symbolic system. Beyond these limits, it becomes limits, it becomes problematic inversion of the matrix. Please the plan. Beyond these problematic to find an accurateto obtain an accurate inversion ofnote these limits, it becomes problematic to locate an accurate inversion of the matrix. Please note that escalating the number of terms inside the summation (k-values within the initial circumstances) matrix. Please note that increasing the amount of terms within the summation (k-values in the that growing the amount of terms within the summation (k-values in the initial conditions) also aids reducealso assists lower error in the approximatelinear partialthe linear partial initial conditions) error inside the approximate solutions of your linear partial fractional differalso helps lessen error within the approximate solutions from the options of fractional differential equations. We equations. from the graphs (Figures graphs that the eight and 9) that fractional differentialcan observe We can observe in the eight and 9) (Figures absolute error ential equations. We are able to observe from the graphs (Figures 8 and 9) that the absolute error decreases as we decreases as we the size in the fractional B-poly basis set. Due basis the absolute errorsteadily raise steadily raise the size of the fractional B-poly to the decreases as we steadily increase the size with the fractional B-poly basis set. As a consequence of the analytic nature in the fractional the fractional B-polys, each of the calculations without a out set. Due to the analytic nature ofB-polys, each of the calculations are carried outare carried grid analytic nature in the fractional B-polys, all of the calculations are carried out with no a grid representation around the intervals of integration. We also presented the absolute error in with no a grid representation on the intervals of integration. We also presente.
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