Theory and Modern Applications
Table 2 Comparison of maximum absolute errors acquired using the GWGM for \(\beta = 3/2, \alpha = 1\) of Example 1 with given initial and boundary conditions
| Â | \(\vert u_{\mathrm{exactsol}}(x_{i},t_{i}) -u(x_{i},t_{i}) \vert \) | ||
|---|---|---|---|
x | t = 0.1 | t = 0.2 | t = 0.3 |
0.1 | 1.16323454320191e–6 | 2.14990877132823e–5 | 5.87312912886107e–5 |
0.2 | 4.37862738458718e–6 | 1.79419881498818e–6 | 1.17538622877236e–5 |
0.3 | 1.18903522953583e–5 | 3.01675389158262e–6 | 2.68520048517379e–5 |
0.4 | 2.01364671892027e–5 | 1.28895024835568e–5 | 2.31760359661881e–6 |
0.5 | 2.74046230660501e–5 | 3.90751903103677e–5 | 6.03438430572881e–5 |
0.6 | 3.15227119258325e–5 | 6.68518695888243e–5 | 1.27677703530248e–4 |
0.7 | 2.98805597686801e–5 | 8.57788603190225e–5 | 1.80827655015550e–4 |
0.8 | 1.94560165945315e–5 | 8.37675425009263e–5 | 1.92594337513209e–4 |
0.9 | 3.15485559659271e–6 | 4.72021761344938e–5 | 1.32342311023180e–4 |
1.0 | 4.17037628047444e–5 | 3.89240787802368e–5 | 3.36937744545157e–5 |