Theory and Modern Applications
Table 2 Comparison of the numerical results of the wavelet and the present method for Example 9.2
From: Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix
t | Wavelet method [22] | Present method | Present method | Exact solutions |
|---|---|---|---|---|
N = 32 | N = 64 | |||
1 | 3.53856 | 2.952334322 | 2.952482792 | 2.952583880 |
2 | 7.53718 | 6.759933620 | 6.760087331 | 6.760110396 |
3 | 8.28540 | 7.666180255 | 7.666174785 | 7.666141755 |
4 | 6.26126 | 6.077059098 | 6.077230168 | 6.077249465 |
5 | 2.53055 | 2.944185917 | 2.943928811 | 2.943935566 |
6 | −1.49195 | −0.524995341 | −0.525196957 | −0.525171420 |
7 | −4.50898 | −3.246190173 | −3.246325319 | −3.246304280 |
8 | −5.72074 | −4.550474252 | −4.550282354 | −4.550290680 |
9 | −5.00085 | −4.302806466 | −4.302851128 | −4.302864780 |
10 | −2.84029 | −2.848368531 | −2.848382245 | −2.848380860 |