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

Table 7

Comparison of 𝐿₂×10³ at different times for 0≤𝑥≤30, with ℎ=0.1, and Δ𝑡=0.025, problem (b).

	𝑡=2	𝑡=4	𝑡=6	𝑡=8	𝑡=10	𝜈
Present	0.002	0.003	0.003	0.004	0.004	1/2
[9]	0.006	0.010	0.014	0.022	0.043	1/2
Present	0.032	0.036	0.038	0.038	0.038	1/8
[9]	0.228	0.227	0.227	0.227	0.226	1/8
Present	0.431	0.433	0.433	0.433	0.433	1/24
[9]	3.431	3.426	3.426	3.426	3.429	1/24