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Table 8 Transformed TVP ( 50 ): Convergence of the collocation scheme, k=2

From: On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity

h

Equidistant points

Gaussian points

Uniform

Mesh

Uniform

Y h Y

c

p

Y h Y

c

p

Y h Y

c

p

1/2

5.4e+00

2.1e+00

1.9e+00

1/4

2.3e+00

5.2e+01

1.26

2.3e–01

1.8e+01

3.17

2.2e–01

2.2e+03

3.14

1/8

6.8e–01

1.7e+02

1.73

1.7e–02

4.2e+01

3.76

1.6e–02

1.3e+04

3.74

1/16

1.8e–01

3.1e+02

1.93

1.1e–03

6.1e+01

3.94

1.1e–03

2.6e+04

3.93

1/32

4.5e–02

3.8e+02

1.98

7.0e–05

6.9e+01

3.98

6.8e–05

3.3e+04

3.98

1/64

1.1e–02

4.1e+02

2.00

4.4e–06

7.2e+01

4.00

4.3e–06

3.5e+04

4.00

1/128

2.8e–03

4.2e+02

2.00

2.7e–07

7.3e+01

4.00

2.7e–07

3.6e+04

4.00

1/256

7.1e–04

4.2e+02

2.00

1.7e–08

7.3e+01

4.00

1.7e–08

3.6e+04

4.00

1/512

1.8e–04

4.2e+02

2.00

1.1e–09

7.4e+01

4.00

1.0e–09

3.6e+04

4.00