The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Comparison between the exact solution and the LS-SVM solution (Example 3)

x	Exact solution	LS-SVM solution	Absolute error
−1.000	0.000000000000000	0.000000000007191	7.19075e−12
−0.815	0.286524552727799	0.286524553452789	7.24991e−10
−0.630	0.549022817998132	0.549022819226559	1.22843e−09
−0.445	0.765483213493088	0.765483215882123	2.38904e−09
−0.260	0.917754625683981	0.917754628118062	2.43408e−09
−0.075	0.993068456954926	0.993068458430696	1.47577e−09
0.1100	0.985109326154774	0.985109327779211	1.62444e−09
0.2950	0.894544639838025	0.894544642393205	2.55518e−09
0.4800	0.728968627421412	0.728968629629382	2.20797e−09
0.6650	0.502265533143373	0.502265534200269	1.05690e−09
0.8500	0.233445363855905	0.233445364490761	6.34856e−10