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

Table 1

Numerical solution of 𝑥₁(𝑥).

𝑥	𝑥1(𝑥)	𝑥^∗1(𝑥)	|𝑥1(𝑥)−𝑥^∗1(𝑥)|
0.0	0	0	0
0.1	0.105170918	0.1051709181	0.1×10^−9
0.2	0.221402758	0.2214027582	0.2×10^−9
0.3	0.349858808	0.3498588076	0.4×10^−9
0.4	0.491824698	0.4918246977	0.3×10^−9
0.5	0.648721271	0.6487212705	0.5×10^−9
0.6	0.822118800	0.8221187987	0.13×10^−8
0.7	1.013752707	1.013752699	0.8×10^−8
0.8	1.225540928	1.225540897	0.31×10^−7
0.9	1.459603111	1.459603006	0.105×10^−6
1.0	1.718281828	1.718281527	0.301×10^−6