Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes

Table 2

Solutions and error estimation of Example 1.

𝑥𝑗	Analytic solution 𝑌	Approximate solution; 𝑍 by (36)	Approximate solution; 𝑍 by (44)	Absolute error; by (36)	Absolute error; by (44)
0.0	1	1	0.0000	0	0
0.1	0.9946538262	0.978925359857389	0.9934991878	0.0157284663	0.00115463837
0.2	0.9771222064	0.933503956247400	0.9728768936	0.0436182502	0.00424531280
0.3	0.9449011656	0.865636023693632	0.9362531105	0.0792651419	0.00864805513
0.4	0.8950948188	0.797539554103408	0.8814510903	0.0975552647	0.01364372850
0.5	0.8243606355	0.771795250759200	0.8059555784	0.0525653847	0.0184050571
0.6	0.7288475200	0.651392727341382	0.7068662336	0.0774547927	0.0219812864
0.7	0.6041258121	0.519777983609805	0.5808456679	0.0843478285	0.0232801441
0.8	0.4451081856	0.380902186129123	0.42406141196	0.06420599959	0.0210467736
0.9	0.2459603111	0.199271785305208	0.23212109670	0.0466885258	0.0138392144
1.0	0	0	0.0000	0.000	0.000