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 5 Comparison between exact solution and LS-SVM solution (Example 5)

x	Exact solution	LS-SVM solution	x	Exact solution	LS-SVM solution
0.000	0.000000000000	0.000000000000	0.525	0.075969140625	0.075975418091
0.075	0.000031640625	0.000044822693	0.575	0.109312890625	0.109313011169
0.125	0.000244140625	0.000263214111	0.625	0.152587890625	0.152583122253
0.175	0.000937890625	0.000963211060	0.675	0.207594140625	0.207587242126
0.225	0.002562890625	0.002589225769	0.725	0.276281640625	0.276272773743
0.275	0.005719140625	0.005746841431	0.775	0.360750390625	0.360743522644
0.325	0.011156640625	0.011182785034	0.825	0.463250390625	0.463246345520
0.375	0.019775390625	0.019799232483	0.875	0.586181640625	0.586181640625
0.425	0.032625390625	0.032644271851	0.925	0.732094140625	0.732098579407
0.475	0.050906640625	0.050920486450	1.000	1.000000000000	1.000000000000