A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

Table 4

Maximum absolute errors with various choices of (𝛼,𝛽) for both values of 𝛿=1,3 Example 3.

𝛼

𝛽

𝐴

𝐵

𝜈

𝛾

𝜂

𝛿

𝑁

𝑀𝐸

𝐴

𝐵

𝑀𝐸

0

0

0

1

0.001

0.001

0.001

1

12

1.39×10^−9

−1

1

2.55×10^−9

1/2

1/2

6.38×10^−10

1.72×10^−9

−1/2

−1/2

3.83×10^−9

4.65×10^−9

−1/2

1/2

5.04×10^−9

4.58×10^−9

0

1

2.16×10^−9

2.42×10^−9

0

0

0

1

0.001

0.001

0.001

3

12

1.84×10^−4

−1

1

14.75×10^−4

1/2

1/2

2.23×10^−5

4.13×10^−4

−1/2

−1/2

33.44×10^−4

81.17×10^−4

−1/2

1/2

56.96×10^−4

90.97×10^−4

0

1

5.24×10^−4

16.46×10^−4