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

Table 1

𝑥	𝑥ℓ−2	𝑥ℓ−1	𝑥ℓ	𝑥ℓ+1	𝑥ℓ+2
𝜙ℓ	0	1	4	1	0
𝜙^′ℓ	0	3/ℎ	0	−3/ℎ	0
𝜙ℓ^′′	0	6/ℎ^2	−12/ℎ^2	6/ℎ^2	0