Table 5 Comparison of the values of exact, approximate solutions for different values of x and the absolute errors at Ï„=0.001 for example 4
x | Exact | Suggested method | absolute error | absolute error |
|---|---|---|---|---|
| Â | solution | (N=7) | (N=7) | [33] |
0 | 0.00000 | 0.00000 | 0 | 0 |
0.2 | − 0.16000 | − 0.16000 | 5.82 × 10−16 | 1.94 × 10−16 |
0.4 | − 0.24000 | − 0.24000 | 5.55 × 10−16 | 3.33 × 10−16 |
0.6 | − 0.24000 | − 0.24000 | 4.44 × 10−16 | 8.60 × 10−14 |
0.8 | − 0.16000 | − 0.16000 | 3.33 × 10−16 | 8.57 × 10−14 |
1 | 0.00000 | 0.00000 | 0 | 0 |