Research Article

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

Table 2

Maximum absolute error obtained for problem 1.

= Δ 𝑡 CN [11] CBVM [11] Present method

1/5 1 . 1 × 1 0 1 2 . 8 × 1 0 2 1 . 4 1 4 5 × 1 0 1
1/10 3 . 0 × 1 0 2 3 . 8 × 1 0 3 3 . 7 1 9 5 × 1 0 2
1/20 6 . 9 × 1 0 3 2 . 7 × 1 0 4 8 . 4 5 8 8 × 1 0 3
1/40 1 . 7 × 1 0 3 1 . 3 × 1 0 5 2 . 0 6 9 8 × 1 0 3
1/80 4 . 2 × 1 0 4 5 . 1 × 1 0 7 5 . 1 4 7 3 × 1 0 4