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

Table 1

Comparison of results with the exact solution and the results in [26] of 𝜐=0.1 with Δ𝑡=0.001 at 𝑡=1 for different values of 𝑥 of Experiment 1.

𝑥	Exact	MQQI [26]	IMQQI		DMQQI		Error	Error
		𝑁=100	𝑁=10	𝑁=20	𝑁=10	𝑁=20	IMQQI	DMQQI
0.1	0.0663	0.0712	0.0663	0.0663	0.0662	0.0662	8.59𝐸−07	4.41𝐸−05
0.2	0.1312	0.1343	0.1313	0.1312	0.1310	0.1311	2.18𝐸−06	7.77𝐸−05
0.3	0.1928	0.1934	0.1929	0.1928	0.1925	0.1926	4.49𝐸−06	1.21𝐸−04
0.4	0.2480	0.2454	0.2483	0.2480	0.2476	0.2478	8.59𝐸−06	1.88𝐸−04
0.5	0.2919	0.2852	0.2924	0.2919	0.2913	0.2916	1.55𝐸−05	2.85𝐸−04
0.6	0.3161	0.3047	0.3169	0.3161	0.3150	0.3155	2.26𝐸−05	4.15𝐸−04
0.7	0.3081	0.2929	0.3095	0.3081	0.3064	0.3072	3.39𝐸−05	5.53𝐸−04
0.8	0.2537	0.2378	0.2558	0.2538	0.2515	0.2526	4.96𝐸−05	5.98𝐸−04
0.9	0.1461	0.1354	0.1481	0.1461	0.1441	0.1455	4.47𝐸−05	4.16𝐸−04