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Theory and Modern Applications

Table 5 Absolute errors of Example 2 for many 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)

9.5133E − 09

6.6004E − 09

4.4920E − 09

2.9885E − 09

1.9326E − 09

(0.2,0.2)

1.0530E − 07

7.9127E − 08

5.7844E − 08

4.1404E − 08

2.8903E − 08

(0.3,0.3)

9.6665E − 07

3.3461E − 07

2.5678E − 07

1.9243E − 07

1.4105E − 07

(0.4,0.4)

1.0813E − 06

9.1574E − 07

7.3594E − 07

5.7117E − 07

4.3402E − 07

(0.5,0.5)

2.2190E − 06

1.6516E − 06

1.6516E − 06

2.2190E − 06

1.0367E − 06

(0.6,0.6)

3.9341E − 06

3.1570E − 06

3.1570E − 06

3.9341E − 06

2.1091E − 06

(0.7,0.7)

6.3114E − 06

5.3801E − 06

5.3809E − 06

6.3114E − 06

3.8408E − 06

(0.8,0.8)

9.4176E − 06

8.4176E − 06

8.4176E − 06

9.4176E − 06

6.4421E − 06

(0.9,0.9)

1.3302E − 05

1.2877E − 05

1.2324E − 05

1.3302E − 05

1.3302E − 05