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Theory and Modern Applications

Table 6 Approximate results when \(N=50\) at \(t=1\) for Example 3

From: A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms

z

α = 1.25

α = 1.5

RBF [19]

CuTBSM [33]

Present

RBF [19]

CuTBSM [33]

Present

0.1

6.63 × 10−4

2.10 × 10−6

4.29 × 10−9

6.55 × 10−4

2.08 × 10−6

3.23 × 10−9

0.2

5.46 × 10−4

4.07 × 10−6

5.96 × 10−9

5.33 × 10−4

4.05 × 10−6

4.49 × 10−9

0.3

5.07 × 10−4

5.81 × 10−6

7.06 × 10−9

4.89 × 10−4

5.79 × 10−6

5.77 × 10−9

0.4

4.68 × 10−4

7.20 × 10−6

8.54 × 10−9

4.48 × 10−4

7.20 × 10−6

7.90 × 10−9

0.5

4.56 × 10−4

8.12 × 10−6

9.02 × 10−9

4.34 × 10−4

8.08 × 10−6

8.09 × 10−9

0.6

4.53 × 10−4

8.41 × 10−6

7.61 × 10−9

4.32 × 10−4

8.38 × 10−6

7.28 × 10−9

0.7

4.75 × 10−4

7.92 × 10−6

7.09 × 10−9

4.57 × 10−4

7.90 × 10−6

6.78 × 10−9

0.8

4.99 × 10−4

6.49 × 10−6

5.72 × 10−9

4.85 × 10−4

6.47 × 10−6

4.70 × 10−9

0.9

5.90 × 10−4

3.92 × 10−6

3.82 × 10−9

5.83 × 10−4

3.91 × 10−6

2.64 × 10−9