Research Article
Analytical Solution of System of Volterra Integral Equations Using OHAM
Table 3
Comparison of absolute errors of relaxed Monte Carlo method (RMCM) [
12] with
, and
and third-order OHAM.
| | RMCM [12] | RMCM [12] | OHAM | OHAM |
| | 0 | 0 | 0 | 0 | 0 | | 0.1 | 3.52 × 10−10 | 4.87 × 10−11 | 2.79776 × 10−14 | 8.88178 × 10−16 | | 0.2 | 1.10 × 10−8 | 7.55 × 10−10 | 2.17382 × 10−13 | 1.53211 × 10−14 | | 0.3 | 1.47 × 10−9 | 3.75 × 10−9 | 3.61045 × 10−13 | 5.15143 × 10−14 | | 0.4 | 1.86 × 10−7 | 4.01 × 10−8 | 1.81966 × 10−12 | 9.83658 × 10−14 | | 0.5 | 6.55 × 10−7 | 1.77 × 10−7 | 1.41989 × 10−11 | 1.56253 × 10−12 | | 0.6 | 4.45 × 10−7 | 4.33 × 10−8 | 5.23852 × 10−11 | 7.48757 × 10−12 | | 0.7 | 1.38 × 10−7 | 8.08 × 10−8 | 1.29325 × 10−10 | 2.25802 × 10−11 | | 0.8 | 1.53 × 10−5 | 6.18 × 10−6 | 2.20657 × 10−10 | 4.67144 × 10−11 | | 0.9 | 6.38 × 10−5 | 2.37 × 10−5 | 2.58731 × 10−10 | 6.76399 × 10−11 | | 1 | 2.09 × 10−5 | 2.88 × 10−6 | 5.19127 × 10−10 | 1.3096 × 10−10 |
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