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Theory and Modern Applications

Table 2 L ω α , β 2 (−1,1) errors for Example 2

From: Jacobi spectral solution for weakly singular integral algebraic equations of index-1

N

∥ y ˜ N − y ˜ ∥ L ω α , β 2 ( − 1 , 1 )

∥ z ˜ N − z ˜ ∥ L ω α , β 2 ( − 1 , 1 )

4

2.95 × 10−4

2.84 × 10−3

5

4.55 × 10−5

3.70 × 10−4

6

7.81 × 10−6

8.62 × 10−5

7

4.72 × 10−7

4.92 × 10−6

8

4.31 × 10−7

8.78 × 10−7

9

5.29 × 10−8

5.12 × 10−7