Research Article
Analytical Solution of System of Volterra Integral Equations Using OHAM
Table 5
The exact solution and third-order OHAM solution for problem 3.
| | Exact | OHAM | Absolute errors | Exact | OHAM | Absolute errors |
| | 0. | 0 | 0 | 0. | 0 | 0 | 0 | | 0.1 | 0.1 | 0.0999999 | 6.76544 × 10−8 | 0.01 | 0.010000 | 4.69687 × 10−7 | | 0.2 | 0.2 | 0.200000 | 3.88365 × 10−7 | 0.04 | 0.040003 | 3.66185 × 10−6 | | 0.3 | 0.3 | 0.299999 | 6.09156 × 10−7 | 0.09 | 0.090010 | 1.08757 × 10−5 | | 0.4 | 0.4 | 0.400000 | 2.25143 × 10−7 | 0.16 | 0.160019 | 1.93236 × 10−5 | | 0.5 | 0.5 | 0.500002 | 2.49502 × 10−6 | 0.25 | 0.250021 | 2.10611 × 10−5 | | 0.6 | 0.6 | 0.600004 | 4.18880 × 10−6 | 0.36 | 0.360008 | 8.03933 × 10−6 | | 0.7 | 0.7 | 0.700002 | 1.61514 × 10−6 | 0.49 | 0.489986 | 1.39203 × 10−5 | | 0.8 | 0.8 | 0.799997 | 3.36620 × 10−6 | 0.64 | 0.639988 | 1.22626 × 10−5 | | 0.9 | 0.9 | 0.900002 | 2.19350 × 10−6 | 0.81 | 0.810036 | 3.63494 × 10−5 | | 1 | 1 | 0.999987 | 1.34560 × 10−5 | 1 | 0.999929 | 7.10952 × 10−5 |
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