Research Article

The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method

Table 3

Results for Example 4.3.

𝑁 𝐸 1 𝐸 2

8 𝜋 / 1 6 8 . 9 8 5 5 × 1 0 4 8 . 9 8 5 5 × 1 0 4
16 𝜋 / 3 2 2 . 2 5 0 7 × 1 0 4 2 . 2 5 0 7 × 1 0 4
32 𝜋 / 6 4 5 . 6 3 2 1 × 1 0 5 5 . 6 3 2 1 × 1 0 5
64 𝜋 / 1 2 8 1 . 4 0 8 2 × 1 0 5 1 . 4 0 8 2 × 1 0 5
128 𝜋 / 2 5 6 3 . 5 2 0 7 × 1 0 6 3 . 5 2 0 7 × 1 0 6
256 𝜋 / 5 1 2 8 . 8 0 1 8 × 1 0 7 8 . 8 0 1 8 × 1 0 7