Research Article
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.
| | Walsh series method [1] | Laguerre series method () [2] | Taylor series method () [3] | Hermit series method () [4] | Presented method () |
| 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 |
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