A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

Table 5

Maximum absolute errors with various choices of (𝛼,𝛽) for Example 2.

𝛼	𝛽	𝐴	𝐵	𝜇	𝜈	𝑁	𝑀𝐸	𝐴	𝐵	𝑀𝐸
0	0	0	1	0.1	10	4	1.49×10^−6	−1	1	5.62×10^−7
1/2	1/2						2.45×10^−6			8.25×10^−7
−1/2	−1/2						6.51×10^−7			6.51×10^−7
−1/2	1/2						3.84×10^−6			4.67×10^−7
1/2	−1/2						1.20×10^−6			1.20×10^−6
0	0	0	1	0.1	10	16	1.43×10^−9	−1	1	1.06×10^−9
1/2	1/2						1.62×10^−9			1.18×10^−9
−1/2	−1/2						6.70×10^−10			4.45×10^−10
−1/2	1/2						6.68×10^−10			4.49×10^−10
1/2	−1/2						6.67×10^−10			4.23×10^−10