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

Table 2

Numerical solution of 𝑥₂(𝑥).

𝑥	𝑥2(𝑥)	𝑥^∗2(𝑥)	|𝑥2(𝑥)−𝑥^∗2(𝑥)|
0.0	−1	−1	0
0.1	−0.905170918	−0.9051709181	0.1×10^−9
0.2	−0.821402758	−0.8214027582	0.2×10^−9
0.3	−0.749858808	−0.7498588076	0.4×10^−9
0.4	−0.691824698	−0.6918246977	0.3×10^−9
0.5	−0.648721271	−0.6487212705	0.5×10^−9
0.6	−0.622118800	−0.6221187987	0.13×10^−8
0.7	−0.613752707	−0.6137526992	0.78×10^−8
0.8	−0.625540928	−0.6255408967	0.313×10^−7
0.9	−0.659603111	−0.6596030066	0.1044×10^−6
1.0	−0.718281828	−0.7182815256	0.3024×10^−6