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Theory and Modern Applications

Table 2 Comparison of the maximum absolute errors with various N for Example 7.1

From: The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations

Sinc method

Proposed method

N

\(\|e(t)\|_{L^{\infty}}\)

N

\(\|e(t)\|_{L^{\infty}} \)

5

3.6000e−3

4

8.1760e−4

10

2.2328e−4

8

7.7913e−9

20

5.7215e−6

12

2.8315e−14

30

2.8939e−7

16

3.3316e−16

40

2.2096e−7

20

2.2202e−16