Table 1 Numerical results of Example 1 for \(\varepsilon =0.1\)
x | UVA solution (Bender and Orszag 1978) | SCEM approximation | Absolute error |
|---|---|---|---|
0.000 | 0.000000000000 | 0.000000000000 | 0.000000000000 |
0.001 | 0.012725733435 | 0.012725733463 | 2.828981493e(−11) |
0.005 | 0.060974133872 | 0.060974134008 | 1.359571344e(−10) |
0.010 | 0.115695936573 | 0.115695936832 | 2.589762846e(−10) |
0.100 | 0.504029730749 | 0.504029731985 | 1.2353316147e(−9) |
0.200 | 0.498130190310 | 0.498130191712 | 1.4025156036e(−9) |
0.300 | 0.429064776009 | 0.429064777435 | 1.4251414492e(−9) |
0.400 | 0.356442418964 | 0.356442420392 | 1.4282036109e(−9) |
0.500 | 0.287650603618 | 0.287650605047 | 1.4286180016e(−9) |
0.600 | 0.223139292470 | 0.223139293899 | 1.4286740679e(−9) |
0.700 | 0.162518353125 | 0.162518354554 | 1.4286816729e(−9) |
0.800 | 0.105360437654 | 0.105360439083 | 1.4286826582e(−9) |
0.900 | 0.051293283830 | 0.051293285259 | 1.4286828040e(−9) |
1.000 | −0.000000001428 | 0.000000000000 | 1.4286828220e(−9) |