Modified Homotopy Perturbation Technique for the Approximate Solution of Nonlinear Equations

Table 1

Method	IT	𝑥𝑛 (approximate solution)	|𝑓(𝑥𝑛)|	𝛿	𝜌
NM	7	1.4044916482153412260	1.04𝑒−50	7.33𝑒−26	2.00003
HM	5	1.4044916482153412260	0	6.98𝑒−32	3.03470
CM	5	1.4044916482153412260	0	1.31𝑒−17	3.88844
SH1	4	1.4044916482153412260	0	7.31𝑒−32	3.03479
SH2	4	1.4044916482153412260	0	2.95𝑒−25	4.13335