Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

Table 1

Errors and convergence rate of the equidistant nodes with different .

Error		Error		Error		Error
10	7.1976e + 00		4.6412e + 00		2.4217e + 00		1.1522e + 00
20	3.5555e + 00	1.0175	1.2336e + 00	1.9117	3.6419e − 01	2.7333	9.9594e − 02	3.5322
40	1.4588e + 00	1.2853	2.6378e − 01	2.2254	4.1431e − 02	3.1359	6.0309e − 03	4.0456
80	5.5050e − 01	1.4060	5.1045e − 02	2.3695	4.1384e − 03	3.3236	3.1073e − 04	4.2786
160	2.0058e − 01	1.4566	9.4229e − 03	2.4375	3.8810e − 04	3.4146	1.4799e − 05	4.3921
320	7.1879e − 02	1.4806	1.7004e − 03	2.4703	3.5301e − 05	3.4586	6.7836e − 07	4.4473
640	2.5569e − 02	1.4912	3.0357e − 04	2.4858	3.1616e − 06	3.4810	3.1718e − 08	4.4187
1280	9.0650e − 03	1.4960	5.3912e − 05	2.4933	2.8666e − 07	3.4632	1.2685e − 08	1.3222