Modified Homotopy Perturbation Technique for the Approximate Solution of Nonlinear Equations

Table 10

Method	IT	𝑥𝑛 (approximate solution)	|𝑓(𝑥𝑛)|	𝛿	𝜌
NM	13	3.0000000000000000000	1.52𝑒−47	4.21𝑒−25	2.00023
HM	9	3.0000000000000000000	0	6.57𝑒−39	2.99432
CM	8	3.0000000000000000000	0	2.12𝑒−23	3.88024
SH1	9	3.0000000000000000000	0	6.13𝑒−39	3.09401
SH2	8	3.0000000000000000000	0	1.35𝑒−24	3.96253