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

Table 5

The comparison of 𝐿₂ and 𝐿_∞ errors between the numerical results by using our schemes and the results of [31] with Δ𝑡=0.01, 𝜐=0.005, and 𝜐=0.001 of Experiment 2.

𝜐=0.005	𝐿∞			𝐿2
	𝑡=1.7	𝑡=2.4	𝑡=3.1	𝑡=1.7	𝑡=2.4	𝑡=3.1
IMQQI; 𝑁=20	9.88𝐸−03	3.74𝐸−03	9.70𝐸−04	2.18𝐸−03	7.85𝐸−04	2.48𝐸−04
IMQQI; 𝑁=50	7.63𝐸−05	2.88𝐸−05	1.45𝐸−05	1.79𝐸−05	8.35𝐸−06	4.86𝐸−06
DMQQl; 𝑁=50	1.82𝐸−04	1.58𝐸−04	9.88𝐸−05	4.12𝐸−05	3.24𝐸−05	2.09𝐸−05
TCM [31]; 𝑁=240	6.48𝐸−05	4.32𝐸−05	3.13𝐸−05	1.69𝐸−05	1.21𝐸−05	9.20𝐸−06
TGM [31]; 𝑁=240	1.78𝐸−03	1.28𝐸−03	1.00𝐸−03	3.23𝐸−04	2.99𝐸−04	2.75𝐸−04
𝜐=0.001	𝑡=1.7	𝑡=3.0	𝑡=3.5	𝑡=1.7	𝑡=3.0	𝑡=3.5
IMQQI; 𝑁=100	7.57𝐸−03	2.85𝐸−03	1.70𝐸−03	1.07𝐸−03	3.20𝐸−04	2.21𝐸−04
DMQQI; 𝑁=100	1.71𝐸−02	4.03𝐸−03	5.29𝐸−03	2.26𝐸−03	5.37𝐸−04	6.43𝐸−04
TCM [31]; 𝑁=2400	1.54𝐸−03	3.58𝐸−04	2.41𝐸−04	1.89𝐸−04	5.12𝐸−05	3.59𝐸−05
TGM [31]; 𝑁=2400	1.56𝐸−03	3.67𝐸−04	2.49𝐸−04	1.93𝐸−04	5.54𝐸−05	4.07𝐸−05