The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method

Table 4

The observed maximum errors of Example 3.2.

Method	𝑛=16	𝑛=32	𝑛=64	𝑛=128
Our method	1.18×10^−3	5.47×10^−4	2.62×10^−4	1.29×10^−4
Nonpolynomial spline [11]	7.12×10^−4	4.05×10^−4	2.22×10^−4	1.15×10^−4
Quartic spline [12]	1.15×10^−3	5.32×10^−4	2.56×10^−4	1.26×10^−4
Finite difference [13]	1.96×10^−4	4.89×10^−5	1.22×10^−5	3.06×10^−6
Cubic spline [14]	1.23×10^−3	5.53×10^−4	2.61×10^−4	1.27×10^−4
Colloc. quantic spline [15]	1.26×10^−3	5.60×10^−4	3.10×10^−4	1.67×10^−4
Finite difference [16]	6.89×10^−3	7.11×10^−3	7.27×10^−3	7.36×10^−3
Quartic B spline [17]	1.13×10^−3	5.30×10^−4	5.52×10^−4	1.23×10^−4