On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3

Table 3

Numerical solution of 𝑥₃(𝑥).

𝑥	𝑥3(𝑥)	𝑥^∗3(𝑥)	|𝑥3(𝑥)−𝑥^∗3(𝑥)|
0.0	1	1	0
0.1	1.195688010	1.195688010	0
0.2	1.385683310	1.385683309	0.1×10^−8
0.3	1.574816450	1.574816451	0.1×10^−8
0.4	1.768554577	1.768554576	0.1×10^−8
0.5	1.97381906	1.973081903	0.3×10^−8
0.6	2.195390080	2.195390061	0.19×10^−7
0.7	2.443379602	2.443379511	0.91×10^−7
0.8	2.725973670	2.725973317	0.353×10^−6
0.9	3.053245911	3.053244751	0.1160×10^−5
1.0	3.436563656	3.436560295	0.3361×10^−5