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

Table 2

Error estimates and order of convergence for Example 1 at 𝜉=100.

𝑛	𝜏=0.94,𝜃=0.85			𝜏=1.0,𝜃=1.0
	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0
20	2.04𝑒−02	4.68𝑒−03	—	8.79𝑒−02	1.97𝑒−02	—
40	1.81𝑒−04	5.38𝑒−05	6.0	1.44𝑒−02	2.33𝑒−03	2.6
80	2.76𝑒−06	1.35𝑒−06	6.0	1.26𝑒−03	1.68𝑒−04	3.5