Solution of Boundary Value Problems by Approaching Spline Techniques

Table 1

Approximate solution (series 1), exact solution (series 2), and absolute errors of Example 1.

x values	Approximate solution (U)	Exact solution 𝑢(𝑥)	Absolute error
2.1	0.018809	0.018609	0.0002
2.2	0.032904	0.032536	0.00037
2.3	0.042537	0.042048	0.00049
2.4	0.047925	0.047368	0.00056
2.5	0.049252	0.048684	0.00057
2.6	0.046680	0.046154	0.00053
2.7	0.040350	0.039912	0.00044
2.8	0.030389	0.030075	0.00031
2.9	0.016908	0.016742	0.00017