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Table 5 Absolute errors for problem ( 69 )-( 71 ) at \(\pmb{N=M=8}\)

From: An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays

x

y

t

E ( x , y , t )

0.1

0.1

0

1.20835 × 10−6

0.2

0.2

1.37925 × 10−6

0.3

0.3

1.90777 × 10−7

0.4

0.4

7.16319 × 10−7

0.5

0.5

3.46945 × 10−18

0.6

0.6

7.16319 × 10−7

0.7

0.7

1.90777 × 10−7

0.8

0.8

1.37925 × 10−6

0.9

0.9

1.20835 × 10−6

0.1

0.1

0.5

3.00614 × 10−7

0.2

0.2

3.22082 × 10−7

0.3

0.3

2.01012 × 10−8

0.4

0.4

1.74909 × 10−7

0.5

0.5

6.71257 × 10−12

0.6

0.6

1.74909 × 10−7

0.7

0.7

2.01036 × 10−8

0.8

0.8

3.22081 × 10−7

0.9

0.9

3.00614 × 10−7

0.1

0.1

1

6.24895 × 10−8

0.2

0.2

6.69564 × 10−8

0.3

0.3

4.1809 × 10−9

0.4

0.4

3.63598 × 10−8

0.5

0.5

2.93906 × 10−13

0.6

0.6

3.63598 × 10−8

0.7

0.7

4.18141 × 10−9

0.8

0.8

6.69562 × 10−8

0.9

0.9

6.24895 × 10−8