On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation

Table 4

The spectral radius and 𝐿_∞ and 𝐿₂ error norms versus shape parameter 𝑐 when Δ𝑡=0.001, 𝑁=100, and 𝜐=0.01 at 𝑡=1 of Experiment 1.

IMQQI				DMQQI
𝑐	𝜌(𝐄1)	𝐿∞	𝐿2	𝑐	𝜌(𝐄2)	𝐿∞	𝐿2
1.00𝐸−20	0.99925	2.4628𝐸−04	5.1531𝐸−04	4.00𝐸−03	0.99925	5.0580𝐸−02	8.8134𝐸−03
1.00𝐸−10	0.99925	2.4628𝐸−03	5.1531𝐸−04	6.00𝐸−03	0.99925	9.7461𝐸−03	1.6022𝐸−03
1.00𝐸−05	0.99925	2.4642𝐸−03	5.1413𝐸−04	8.00𝐸−03	0.99925	4.7521𝐸−03	7.5521𝐸−04
1.00𝐸−02	0.99925	2.1783𝐸−03	2.8715𝐸−04	1.00𝐸−02	0.99925	5.1918𝐸−03	6.7218𝐸−04
1.00𝐸−01	0.99924	2.8855𝐸−04	3.3028𝐸−05	3.00𝐸−02	1.00049	8.3973𝐸−01	1.2667𝐸−01
1.20𝐸−01	5.10176	1.3242𝐸+04	1.7896𝐸+04	5.00𝐸−02	1.05591	9.3609𝐸−01	1.7319𝐸−01