A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

Table 7

Comparison of absolute errors of Example 3 with results from [19], where 𝑁=4, 𝛼=𝛽=0, and various choices of 𝑥,𝑡.

𝑥

𝑡

𝛾

𝜈

𝛿

[19]

𝐸

𝑥

𝑡

𝛾

𝜈

𝛿

[19]

𝐸

0.1

0.005

0.001

0.001

1

9.69×10^−6

1.85×10^−6

0.1

0.0005

1

1

2

1.40×10^−3

3.83×10^−5

0.001

1.94×10^−6

3.72×10^−7

0.0001

2.80×10^−4

3.88×10^−5

0.01

1.94×10^−5

3.72×10^−6

0.001

2.80×10^−3

3.76×10^−5

0.5

0.005

9.69×10^−6

7.04×10^−6

0.5

0.0005

1.35×10^−3

2.32×10^−5

0.001

1.94×10^−6

1.41×10^−6

0.0001

2.69×10^−4

2.38×10^−5

0.01

1.94×10^−5

1.41×10^−5

0.001

2.69×10^−3

2.25×10^−5

0.9

0.005

9.69×10^−6

3.21×10^−6

0.9

0.0005

1.28×10^−3

1.58×10^−5

0.001

1.94×10^−6

6.42×10^−7

0.0001

2.55×10^−4

1.55×10^−5

0.01

1.94×10^−5

6.42×10^−6

0.001

2.55×10^−3

1.61×10^−5