Table 4 Solution of Example (1), using at to 1 in steps of 1/15, CPU time = 0.52 s
x | Approximate u(x) | Exact U(x) | MLS error | MLS error (enhanced) |
|---|---|---|---|---|
0.000000 | 1.00000 | 1.00000 | 0.0000000 | 0.000000000 |
0.0666667 | 1.06890 | 1.06894 | 0.0064395 | 0.000043585 |
0.133333 | 1.14259 | 1.14263 | 0.0069198 | 0.000039754 |
0.200000 | 1.22139 | 1.22140 | 0.0001114 | 0.000017405 |
… | … | … | … | … |
1.000000 | 2.71828 | 2.71828 | 0.000066495 | 0.000000129 |