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Theory and Modern Applications

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

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

1.75 × 10−4

1.61 × 10−3

5

3.34 × 10−5

2.59 × 10−4

6

7.33 × 10−6

5.80 × 10−5

7

4.12 × 10−7

5.62 × 10−6

8

2.35 × 10−7

6.15 × 10−6

9

4.65 × 10−8

3.96 × 10−7