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

Table 1

Error estimates and order of convergence for Example 1 at 𝜉=10.

𝑛	𝜏=0.97,𝜃=0.70			𝜏=1.0,𝜃=1.0
	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0	𝜀𝑢^(∞)	𝜀𝑢^(2)	Θ0
20	1.84𝑒−05	9.72𝑒−06	—	2.65𝑒−05	1.16𝑒−05	—
40	1.15𝑒−06	6.90𝑒−07	4.0	1.81𝑒−06	7.88𝑒−07	3.9
80	1.40𝑒−07	9.27𝑒−08	3.0	1.18𝑒−07	5.13𝑒−08	3.9