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Theory and Modern Applications

Table 1 Absolute errors on the interval of \([0, 10]\) for Example 7.1

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

t

N = 16

N = 20

N = 24

N = 28

N = 32

1.0

2.3210e−6

6.5698e−8

1.6732e−12

2.1369e−14

2.2566e−16

2.0

3.6651e−6

8.0412e−8

3.1013e−11

5.7216e−14

3.1234e−16

3.0

2.1021e−6

8.0050e−8

2.5513e−11

6.7125e−14

2.8412e−16

4.0

3.0012e−6

7.5619e−8

3.1015e−11

1.3353e−13

3.1253e−16

5.0

2.0613e−6

8.0216e−8

3.5362e−11

1.7291e−15

2.5278e−16

6.0

2.9832e−6

8.5532e−8

4.0138e−11

1.4879e−14

1.8322e−16

7.0

2.3321e−6

1.4791e−7

3.8368e−11

1.4672e−14

2.8533e−16

8.0

2.8632e−6

7.3560e−8

4.4629e−11

7.8362e−15

3.0061e−16

9.0

1.1532e−5

8.1021e−8

3.2059e−11

1.3876e−14

1.3312e−16