Table 3 Numerical results of Example 2 for \(\varepsilon =0.001\)
x | Exact solution | SCEM approximation | Absolute error |
|---|---|---|---|
−1.000 | 0.000000000000 | 0.000000000000 | 0.000000000000 |
−0.995 | −0.986614298151 | −0.986614102977 | 1.95174316e(−7) |
−0.990 | −0.999909204262 | −0.999909184974 | 1.92884420e(−8) |
−0.980 | −0.999999995877 | −0.999999995802 | 7.55888684e(−11) |
−0.400 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
−0.200 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
0.000 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
0.200 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
0.400 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
0.600 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
0.800 | −1.000000000000 | −1.000000000000 | 0.000000000000 |
1.000 | −1.000000000000 | −1.000000000000 | 0.000000000000 |