Research Article
Analytical Solution of System of Volterra Integral Equations Using OHAM
Table 4
Comparison of absolute errors of hat basis functions (HBF) [
10] with
and third-order OHAM.
| | HBF [10] | HBF [10] | OHAM | OHAM |
| | 0 | 0 | 0 | 8.8817 × 10−16 | 0 | | 0.1 | 7.700 × 10−4 | 7.460 × 10−4 | 2.51322 × 10−5 | 3.75983 × 10−5 | | 0.2 | 1.434 × 10−3 | 1.533 × 10−3 | 5.85541 × 10−5 | 7.68171 × 10−5 | | 0.3 | 2.054 × 10−3 | 2.313 × 10−3 | 7.12685 × 10−5 | 5.54488 × 10−5 | | 0.4 | 2.641 × 10−3 | 3.085 × 10−3 | 7.10555 × 10−5 | 3.19823 × 10−5 | | 0.5 | 3.103 × 10−3 | 3.844 × 10−3 | 8.84445 × 10−5 | 1.48950 × 10−4 | | 0.6 | 3.647 × 10−3 | 4.583 × 10−3 | 1.58546 × 10−4 | 2.38864 × 10−4 | | 0.7 | 4.089 × 10−3 | 5.296 × 10−3 | 2.98618 × 10−4 | 2.55278 × 10−4 | | 0.8 | 4.535 × 10−3 | 5.970 × 10−3 | 4.81177 × 10−4 | 2.01705 × 10−4 | | 0.9 | 4.998 × 10−3 | 6.599 × 10−3 | 6.02408 × 10−4 | 1.82698 × 10−4 | | 1 | 5.390 × 10−3 | 7.170 × 10−3 | 4.45527 × 10−4 | 4.68227 × 10−4 |
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