Table 1 Numerical results for Example 1 (\(\theta =0.5\), \(\sigma=1\), \(\lambda=5\), \(\alpha=0.5\))
n | x(n) | FMGA | OMGM | ||||||
|---|---|---|---|---|---|---|---|---|---|
\(\|u^{*}-\tilde{u}_{n}\|_{1}\) | C.O. | \(\|u^{*}-\tilde {u}_{n}\|_{2}\) | C.O. | \(\|u^{*}-u_{n}\|_{1}\) | C.O. | \(\|u^{*}-u_{n}\| _{2}\) | C.O. | ||
4 | 15 | 4.3753e-2 | 8.8248e-4 | 4.3753e-2 | 8.8244e-4 | ||||
5 | 31 | 2.1963e-2 | 0.9943 | 2.2097e-4 | 1.9977 | 2.1963e-2 | 0.9943 | 2.2089e-4 | 1.9982 |
6 | 63 | 1.0992e-2 | 0.9986 | 5.5325e-5 | 1.9978 | 1.0992e-2 | 0.9986 | 5.5278e-5 | 1.9986 |
7 | 127 | 5.4975e-3 | 0.9996 | 1.3886e-5 | 1.9943 | 5.4975e-3 | 0.9996 | 1.3867e-5 | 1.9950 |
8 | 255 | 2.7489e-3 | 0.9999 | 3.4821e-6 | 1.9956 | 2.7489e-3 | 0.9999 | 3.4757e-6 | 1.9963 |
9 | 511 | 1.3745e-3 | 1.0000 | 8.7666e-7 | 1.9899 | 1.3745e-3 | 1.0000 | 8.7453e-7 | 1.9907 |
10 | 1023 | 6.8724e-3 | 1.0000 | 2.2071e-7 | 1.9899 | 6.8724e-3 | 1.0000 | 2.1997e-7 | 1.9912 |