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

Table 6

Error estimates for Example 3 at 𝜃=1,𝜏=1,𝜆=10⁸.

𝑛	𝜀𝑢^(∞)	𝜀𝑢^(∞)(2)	𝜀𝑢^(∞)(4)	𝜀𝑢^(2)	𝜀𝑢^(2)(2)	𝜀𝑢^(2)(4)	Θ2
20	1.33𝑒−09	1.33𝑒−09	1.33𝑒−09	9.81𝑒−10	9.81𝑒−10	9.81𝑒−10	—
40	9.19𝑒−11	9.19𝑒−11	9.19𝑒−11	6.67𝑒−11	6.67𝑒−11	6.67𝑒−11	3.9
80	6.04𝑒−12	6.04𝑒−12	6.04𝑒−12	4.35𝑒−12	4.35𝑒−12	4.35𝑒−12	3.9