A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems

Table 4

Comparison of results for Example 1.

Method	Solution	Functions values	Error
Newton	(0.15,0.49)	(−0.00168,0.01497)	0.00022156
Secant	(0.15,0.49)	(−0.00168,0.01497)	0.00022156
Broyden	(0.15,0.49)	(−0.00168,0.01497)	0.00022156
Effati	(0.1575,0.4970)	(−0.005455,0.00739)	0.000084369
EA [12]	(0.157772,0.49458)	(0.001264,0.000969)	0.0000025366
PDS [9]	(0.156520,0.493376)	(−0.0000005815,−0.0000008892)	0.0000003477
IWO
500 iterations	(0.1564457783,0.4933795366)	(0.000051022,0.00029976)	0.00000009256
800 iterations	(0.1565388795,0.4933910072)	(0.000012829,−0.000028008)	0.00000000009
DEIWO
500 iterations	(0.1565200697,0.4933763742)	(−0.0000000000,−0.000000000)	0.0000000000
800 iterations	(0.1565200697,0.4933763742)	(−0.000000000,−0.000000000)	0.0000000000