Theory and Modern Applications
Table 3 Absolute error for solving Example 2 using FAM22
t | α = 0.30 | α = 0.50 | α = 0.70 |
|---|---|---|---|
N = 10 | |||
0.1 | 3.2216×10−2 | 2.3213×10−3 | 1.5385×10−3 |
0.2 | 4.4606×10−1 | 2.5222×10−3 | 1.4874×10−3 |
0.3 | 4.3647×10−1 | 2.2733×10−3 | 1.3271×10−3 |
0.4 | 4.1044×10−2 | 2.0532×10−3 | 1.1903×10−3 |
0.5 | 3.8532×10−2 | 1.8714×10−3 | 1.0719×10−3 |
0.6 | 3.6307×10−2 | 1.7175×10−3 | 9.6760×10−4 |
0.7 | 3.4316×10−2 | 1.5845×10−3 | 8.7453×10−4 |
0.8 | 3.2472×10−2 | 1.4673×10−3 | 7.9069×10−4 |
0.9 | 3.0692×10−2 | 1.3624×10−3 | 7.1464×10−4 |
1.0 | 2.8899×10−2 | 1.2673×10−3 | 6.4525×10−4 |
MXE (P) | 4.3321×10−1 | 2.3999×10−3 | 1.5621×10−3 |
MXE (C) | 4.4606×10−1 | 2.5222×10−3 | 1.5385×10−3 |
N = 100 | |||
0.1 | 1.3802×10−2 | 4.5839×10−4 | 2.3083×10−4 |
0.2 | 1.1960×10−2 | 4.6889×10−4 | 1.9921×10−4 |
0.3 | 1.0771×10−2 | 4.0123×10−4 | 1.7128×10−4 |
0.4 | 9.8697×10−3 | 3.4551×10−4 | 1.4545×10−4 |
0.5 | 9.1203×10−3 | 2.9771×10−4 | 1.2110×10−4 |
0.6 | 8.4456×10−3 | 2.5569×10−4 | 9.7922×10−5 |
0.7 | 7.7904×10−3 | 2.1807×10−4 | 7.5770×10−5 |
0.8 | 6.2013×10−3 | 1.8385×10−4 | 5.4552×10−5 |
0.9 | 4.3485×10−3 | 1.5222×10−4 | 5.4214×10−5 |
1.0 | 2.4687×10−3 | 1.2240×10−4 | 4.4716×10−5 |
MXE (P) | 1.4502×10−2 | 4.9911×10−4 | 2.2198×10−4 |
MXE (C) | 1.3802×10−2 | 4.6889×10−4 | 2.3083×10−4 |
N = 1000 | |||
0.1 | 1.3587×10−3 | 2.3047×10−4 | 2.3902×10−5 |
0.2 | 1.2134×10−3 | 1.7297×10−4 | 4.3898×10−6 |
0.3 | 1.0996×10−3 | 1.3013×10−4 | 2.4291×10−6 |
0.4 | 9.8168×10−4 | 9.5146×10−5 | 5.0362×10−6 |
0.5 | 8.4478×10−4 | 6.5135×10−5 | 3.3773×10−6 |
0.6 | 6.7965×10−4 | 3.8351×10−5 | 3.2049×10−6 |
0.7 | 4.7942×10−4 | 4.3431×10−5 | 2.9736×10−6 |
0.8 | 2.3848×10−4 | 2.2925×10−5 | 2.1809×10−6 |
0.9 | 4.8087×10−5 | 3.6124×10−5 | 2.3275×10−5 |
1.0 | 3.8468×10−4 | 6.3798×10−5 | 3.9177×10−5 |
MXE (P) | 9.9923×10−3 | 3.7298×10−4 | 3.2240×10−5 |
MXE (C) | 9.8168×10−3 | 2.3047×10−4 | 3.9177×10−5 |
EOC (P) | 1.49 | 0.68 | 0.84 |
EOC (C) | 1.51 | 1.74 | 1.81 |