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Table 7 TVP ( 50 ): Convergence of the collocation scheme, k=3

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

1.7e+00

1.2e+00

1.2e+00

1/4

1.2e+00

4.7e+00

0.50

8.6e–01

1.7e+00

0.50

8.6e–01

5.2e+00

0.50

1/8

8.3e–01

4.7e+00

0.50

6.1e–01

1.7e+00

0.50

6.1e–01

5.1e+00

0.50

1/16

5.8e–01

4.7e+00

0.50

4.3e–01

1.7e+00

0.50

4.3e–01

5.1e+00

0.50

1/32

4.1e–01

4.7e+00

0.50

3.0e–01

1.7e+00

0.50

3.0e–01

5.1e+00

0.50

1/64

2.9e–01

4.7e+00

0.50

2.1e–01

1.7e+00

0.50

2.1e–01

5.1e+00

0.50

1/128

2.1e–01

4.7e+00

0.50

1.5e–01

1.7e+00

0.50

1.5e–01

5.1e+00

0.50

1/256

1.5e–01

4.7e+00

0.50

1.1e–01

1.7e+00

0.50

1.1e–01

5.1e+00

0.50

1/512

1.0e–01

4.7e+00

0.50

7.6e–02

1.7e+00

0.50

7.6e–02

5.1e+00

0.50