Modified Homotopy Perturbation Technique for the Approximate Solution of Nonlinear Equations

Table 3

Method	IT	𝑥𝑛 (approximate solution)	|𝑓(𝑥𝑛)|	𝛿	𝜌
NM	6	0.25753028543986076045	2.93𝑒−55	9.10𝑒−28	2.00050
HM	4	0.25753028543986076045	3.9𝑒−53	1.06𝑒−17	3.49362
CM	4	0.25753028543986076045	0	9.46𝑒−29	4.37143
SH1	3	0.25753028543986076045	3.38𝑒−5	1.01𝑒−17	3.28939
SH2	4	0.25753028543986076045	0	1.08𝑒−45	4.34860