The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems

Table 7

Error estimates for Example 3 at 𝜃=0.999,𝜏=0.998,𝜆=10⁸.

𝑛	𝜀𝑢^(∞)	𝜀𝑢^(∞)(2)	𝜀𝑢^(∞)(4)	𝜀𝑢^(2)	𝜀𝑢^(2)(2)	𝜀𝑢^(2)(4)	Θ2
20	1.31𝑒−09	1.31𝑒−09	6.79𝑒−09	9.71𝑒−10	9.71𝑒−10	4.83𝑒−09	—
40	8.40𝑒−11	8.40𝑒−11	9.87𝑒−10	6.17𝑒−11	6.17𝑒−11	6.67𝑒−10	4.0
80	3.81𝑒−12	3.81𝑒−12	1.45𝑒−10	2.78𝑒−12	2.78𝑒−12	8.27𝑒−11	4.5