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Table 6 Absolute errors with A=0 , B=1 , α=β= 1 2 , N=12 and various choices of x , t for Example 3

From: An efficient spectral collocation algorithm for nonlinear Phi-four equations

x

t

E

0

0.1

3.71 × 10−9

0.1

4.08 × 10−9

0.2

3.95 × 10−9

0.3

3.04 × 10−9

0.4

2.05 × 10−9

0.5

1.92 × 10−9

0.6

2.32 × 10−9

0.7

1.56 × 10−9

0.8

2.35 × 10−10

0.9

1.81 × 10−9

1

2.04 × 10−10

0

0.2

3.28 × 10−9

0.1

4.64 × 10−9

0.2

5.20 × 10−9

0.3

4.28 × 10−9

0.4

3.05 × 10−9

0.5

3.48 × 10−9

0.6

5.31 × 10−9

0.7

5.00 × 10−9

0.8

1.20 × 10−9

0.9

2.16 × 10−9

1

4.49 × 10−10