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Table 1 The absolute error in some nodes of \(x,y \) and z when \(m = 16,32\) and 64 for Example 6.1

From: Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions

(x,y,z)

Anal. sol.

m = 16 (3.56 minutes)

m = 32 (5.23 minutes)

m = 64 (10.76 minutes)

(0,0,0)

0

1.639819e–3

8.371991e–5

1.271928e–6

(0.25,0.25,0.25)

0.00024414

3.271828e–3

6.371980e–5

1.937183e–6

(0.5,0.5,0.5)

0.01562500

5.371910e–3

3.172918e–4

2.742790e–6

(0.75,0.75,0.75)

0.17797851

6.371098e–3

4.121930e–4

2.162812e–6

(1,1,1)

1.00000000

8.372632e–3

4.730160e–4

4.371090e–6

(1.25,1.25,1.25)

3.81469726

9.241787e–3

6.381093e–4

5.238103e–6

(1.5,1.5,1.5)

11.39062500

9.482793e–3

8.380931e–5

6.281208e–6

(1.75,1.75,1.75)

28.72290039

1.648277e–2

6.310985e–4

2.381082e–5