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Table 2 Absolute errors with A=0 , B=10 , α=β= 1 2 , N=24 and various choices of x , t , for Example 1

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

x

t

E

0

0.1

3.08 × 10−10

1

5.33 × 10−11

2

4.53 × 10−11

3

2.13 × 10−11

4

4.37 × 10−11

5

4.37 × 10−11

6

3.57 × 10−11

7

6.56 × 10−11

8

4.77 × 10−11

9

7.96 × 10−11

10

3.08 × 10−10

0

0.2

2.87 × 10−10

1

5.12 × 10−11

2

2.04 × 10−11

3

2.96 × 10−11

4

7.97 × 10−12

5

2.45 × 10−11

6

2.63 × 10−11

7

4.35 × 10−11

8

1.87 × 10−11

9

4.43 × 10−11

10

2.87 × 10−10