Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications

Table 2

Comparison between solutions obtained by the present method and the other methods in Example 5.

𝑡𝑖	Walsh series method [1]	Laguerre series method (𝑁=20) [2]	Taylor series method (𝑁=8) [3]	Hermit series method (𝑁=8) [4]	Presented method (𝑁=6)
0	1.000000	0.999971	1.000000	1.000000	1
0.2	0.665621	0.664703	0.6664691	0.664691	0.6646909997
0.4	0.432426	0.433555	0.433561	0.433561	0.4335607773
0.6	0.275140	0.276471	0.276482	0.276482	0.2764823286
0.8	0.170320	0.171482	0.171484	0.171484	0.1714841124
1	0.100856	0.102679	0.102744	0.102670	0.1026701264