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

Table 3

Error estimates and order of convergence for Example 1 at 𝜉=500.

𝑛	𝜏=0.80,𝜃=0.47			𝜏=1.0,𝜃=1.0
	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0
20	1.51𝑒−03	4.88𝑒−04	—	6.04𝑒−01	1.69𝑒−01	—
40	3.26𝑒−05	1.38𝑒−05	5.5	3.74𝑒−01	6.38𝑒−02	0.7
80	3.09𝑒−05	9.39𝑒−06	0.1	1.47𝑒−01	1.67𝑒−02	1.3