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

Table 2

Comparison of results with the exact solution and the results in [26] of 𝜐=0.01 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=20	𝑁=30	𝑁=30	𝑁=60	IMQQI	DMQQI
0.1	0.0754	0.0787	0.0754	0.0754	0.0727	0.0751	4.17𝐸−07	2.84𝐸−04
0.2	0.1506	0.1520	0.1506	0.1506	0.1496	0.1505	1.43𝐸−07	1.12𝐸−04
0.3	0.2257	0.2255	0.2256	0.2257	0.2253	0.2256	3.20𝐸−08	3.16𝐸−05
0.4	0.3003	0.2990	0.3003	0.3003	0.3002	0.3003	4.40𝐸−10	8.83𝐸−06
0.5	0.3744	0.3723	0.3744	0.3744	0.3744	0.3744	6.09𝐸−08	4.67𝐸−06
0.6	0.4448	0.4478	0.4478	0.4478	0.4478	0.4478	6.97𝐸−08	4.55𝐸−06
0.7	0.5203	0.5164	0.5205	0.5203	0.5203	0.5203	5.19𝐸−07	4.99𝐸−06
0.8	0.5915	0.5862	0.5910	0.5915	0.5915	0.5915	5.05𝐸−06	4.54𝐸−06
0.9	0.6600	0.6296	0.6539	0.6604	0.6598	0.6600	7.78𝐸−05	1.10𝐸−06