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

Table 4

Numerical solution of 𝑣₁(𝑥).

𝑥	𝑣1(𝑥)	𝑣^∗1(𝑥)	|𝑣1−𝑣^∗1(𝑥)|
0.0	1	1	0
0.1	0.9048374180	0.9048374181	0.1×10^−9
0.2	0.8187307531	0.8187307532	0.1×10^−9
0.3	0.7408182207	0.7408182206	0.1×10^−9
0.4	0.6703200460	0.6703200461	0.1×10^−9
0.5	0.6065306597	0.6065306595	0.2×10^−9
0.6	0.5488116361	0.5488116345	0.16×10^−8
0.7	0.4965853038	0.4965852966	0.72×10^−8
0.8	0.4993289641	0.4993289365	0.276×10^−7
0.9	0.4065696597	0.4065695710	0.887×10^−7
1.0	0.3678794412	0.3678791888	0.2524×10^−6