Journal of Applied Mathematics

Research Article

Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations

Table 1

Values of 𝐵 𝑖 , 𝐵 𝑖 , and 𝐵 𝑖 .
𝑥 𝑖 𝑥 𝑖 + 1 𝑥 𝑖 + 2 𝑥 𝑖 + 3 𝑥 𝑖 + 4
𝐵 𝑖 0 1 6 4 6 1 6 0
𝐵 𝑖 0 1 2 ℎ 0 − 1 2 ℎ 0
𝐵 𝑖 0 1 ℎ 2 − 2 ℎ 2 1 ℎ 2 0