Two Different Methods for Numerical Solution of the Modified Burgers’ Equation

Table 9

Comparison of our results with earlier studies.

Values and methods	𝐿2×10^3	𝐿∞×10^3	𝐿2×10^3	𝐿∞×10^3
	𝑡=2	𝑡=2	𝑡=10	𝑡=10
𝑣=0.005, Δ𝑡=0.001, ℎ=0.005
SFEM	0.02469	0.08456	0.12326	0.41604
[14]	0.25786	0.72264	0.18735	0.30006
[17] SBCM1	0.22890	0.58623	0.14042	0.23019
[17] SBCM2	0.23397	0.58424	0.13747	0.22626
𝑣=0.001, Δ𝑡=0.01, ℎ=0.005
SFEM	0.00549	0.02820	0.02743	0.13913
QBDQM	0.13707	0.44538	0.06803	0.17110
[13]	0.18354	0.81852	0.05511	0.13943
[14]	0.06703	0.27967	0.05010	0.12129
[17] SBCM1	0.06843	0.26233	0.04080	0.10295
[17] SBCM2	0.07220	0.25975	0.03871	0.09882
[18]	0.06607	0.26186	0.04160	0.10470
𝑣=0.01, Δ𝑡=0.01, and ℎ=0.005
SFEM	0.09785	0.28062	0.48711	1.34692
[14]	0.52308	1.21698	0.64007	1.28124
[17] SBCM1	0.38489	0.82934	0.54826	1.28127
[17] SBCM2	0.39078	0.82734	0.54612	1.28127
[18]	0.37552	0.81766	0.19391	0.23074
𝑣=0.01, Δ𝑡=0.01, and ℎ=0.02
SFEM	0.09738	0.28025	0.48485	1.34798
QBDQM	0.79558	1.37959	0.60429	1.47478
[13]	0.79042	1.70309	0.80025	1.80239
[17] SBCM1	0.38474	0.82611	0.55985	1.28127
[17] SBCM2	0.41321	0.81502	0.55095	1.28127