Modified Jacobian Newton Iterative Method: Theory and Applications

Table 5

Numerical results for the mixed convection-diffusion and Burgers equation with viscosit𝜇=0.5, initial conditio𝑢₀(𝑡)=𝑐_𝑛, and four iterations per time-step.

Δ𝑥=Δ𝑦	Δ𝑡	err𝐿1	errmax	𝜌𝐿1	𝜌max
1/5	1/20	0.0137	0.0354
1/10	1/20	0.0055	0.0139	1.3264	1.3499
1/20	1/20	0.0017	0.0043	1.6868	1.6900
1/40	1/20	8.8839⋅10^−5	3.8893⋅10^−4	4.2588	3.4663
1/5	1/40	0.0146	0.0377
1/10	1/40	0.0064	0.0160	1.1984	1.2315
1/20	1/40	0.0026	0.0063	1.3004	1.3375
1/40	1/40	8.2653⋅10^−4	0.0021	1.6478	1.6236