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Theory and Modern Applications

Table 6 Absolute errors of Example 3 for several values of γ at different points

From: A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation

( x , t )

γ  = 1.1

γ  = 1.3

γ  = 1.5

γ  = 1.7

γ  = 1.9

(0.1,0.1)

1.2498E − 09

6.0892E − 10

2.9307E − 10

1.3992E − 10

6.6457E − 11

(0.2,0.2)

2.0339E − 08

1.1879E − 08

6.5709E − 09

3.5960E − 09

1.9547E − 09

(0.3,0.3)

9.7339E − 08

6.6352E − 08

4.0629E − 08

2.4101E − 08

1.4186E − 08

(0.4,0.4)

2.8201E − 07

2.1618E − 07

1.4732E − 07

9.3061E − 08

1.7977E − 08

(0.5,0.5)

6.2459E − 07

5.1997E − 07

3.9209E − 07

2.6549E − 07

1.7292E − 07

(0.6,0.6)

1.1728E − 06

1.0335E − 06

8.4665E − 07

6.2213E − 07

4.2256E − 07

(0.7,0.7)

1.9709E − 06

1.8065E − 06

1.5758E − 06

1.2559E − 06

8.9991E − 07

(0.8,0.8)

3.0599E − 06

2.8817E − 06

2.6324E − 06

2.2492E − 06

1.7266E − 06

(0.9,0.9)

4.4761E − 06

4.4761E − 09

4.0559E − 06

3.6618E − 06

3.0216E − 06