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Table 4 Absolute errors with A=0 , B=1 , α=β= 1 2 , N=12 and various choices of x , t for Example 2

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

x

t

E

0

0.1

1.97 × 10−9

0.1

6.05 × 10−11

0.2

6.21 × 10−10

0.3

5.64 × 10−10

0.4

1.04 × 10−9

0.5

8.99 × 10−10

0.6

1.31 × 10−9

0.7

1.18 × 10−9

0.8

1.42 × 10−9

0.9

7.16 × 10−10

1

7.89 × 10−11

0

0.2

1.12 × 10−10

1

1.49 × 10−10

0.2

6.11 × 10−10

0.3

6.01 × 10−10

0.4

8.29 × 10−10

0.5

1.08 × 10−9

0.6

1.03 × 10−9

0.7

1.33 × 10−9

0.8

7.60 × 10−10

0.9

2.35 × 10−10

1

4.47 × 10−12