A Galerkin Solution for Burgers' Equation Using Cubic B-Spline Finite Elements

Table 6

Comparison of errors at different times for 𝜈=0.01 and 0≤𝑥≤1, with ℎ=0.01, problem (a).

Time	𝐿2-error	𝐿2-error	𝐿∞-error	𝐿∞-error
	Present	[18]	Present	[18]
	Δ𝑡=0.01	Δ𝑡=0.001	Δ𝑡=0.01	Δ𝑡=0.001
1.07	0.00019	0.00207	0.00168	0.01660
1.14	0.00021	0.00333	0.00166	0.02413
1.35	0.00023	0.00613	0.00147	0.03667
1.70	0.00022	0.00938	0.00120	0.04677
2.40	0.00020	0.01376	0.00086	0.05537
3.10	0.00021	0.01689	0.00074	0.05906
3.24	0.00022	0.01746	0.00089	0.05955
3.31	0.00023	0.01775	0.00096	0.05977