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On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra-Fredholm integral equations
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Nermeen A Elkot,Mahmoud A Zaky,Eid H Doha,Ibrahem G Ameen
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Table 2. The L∞- errors for example 2 versus N.
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| N | γ = 1 (TV = 1.97) | γ = − 1 (TV = 5.36) | γ = − 2 (TV = 25.69) |
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| Method [32] | Present method | Method [32] | Present method | Method [32] | Present method |
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| 3 | 5.704 × 10−4 | 1.110 × 10−3 | 1.171 × 10−3 | 2.972 × 10−3 | 1.824 × 10−2 | 1.787 × 10−1 | | 5 | 3.010 × 10−5 | 2.709 × 10−6 | 6.769 × 10−5 | 7.281 × 10−6 | 3.879 × 10−3 | 1.690 × 10−3 | | 7 | 1.158 × 10−6 | 3.406 × 10−9 | 2.711 × 10−6 | 9.177 × 10−9 | 6.267 × 10−4 | 8.348 × 10−6 | | 9 | 3.904 × 10−8 | 2.603 × 10−12 | 9.466 × 10−8 | 1.12 × 10−12 | 8.786 × 10−5 | 2.522 × 10−8 |
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