Table 5 Numerical results of Example 3 for \(\varepsilon =0.001\)
x | Asymptotic solution (O’Malley 1974) | SCEM approximation | Absolute error |
|---|---|---|---|
0.000 | 0.0000000000 | 0.0000000000 | 0.0000000000 |
0.001 | −0.3317959489 | −0.3317935405 | 2.40830e(−06) |
0.005 | −0.6512232379 | −0.6512204646 | 2.77327e(−06) |
0.010 | −0.6897108336 | −0.6897104246 | 4.08988e(−07) |
0.050 | −0.6916046583 | −0.6916046583 | 2.66675e(−13) |
0.100 | −0.6869723256 | −0.6869723256 | 0.0000000000 |
0.200 | −0.6683710290 | −0.6683710290 | 0.0000000000 |
0.300 | −0.6371092397 | −0.6371092397 | 0.0000000000 |
0.400 | −0.5927836007 | −0.5927836007 | 0.0000000000 |
0.500 | −0.5347999967 | −0.5347999967 | 0.0000000000 |
0.600 | −0.4623401221 | −0.4623401221 | 0.0000000000 |
0.700 | −0.3743118452 | −0.3743118452 | 0.0000000000 |
0.800 | −0.2692764695 | −0.2692764695 | 0.0000000000 |
0.900 | −0.1453415344 | −0.1453415344 | 0.0000000000 |
1.000 | 0.0000000000 | 0.0000000000 | 0.0000000000 |