An Integrated Genetic Algorithm and Homotopy Analysis Method to Solve Nonlinear Equation Systems

Table 1

Comparison of results for test function 1 at different cases of the initial guess.

Case 1. Initial guess: 7.0611, 6.0747	Method	Result	HAM iterations		Other iterations
	NHAM	Converging	1		Newton	56
	GAHAM	Converging	1		GA	1
			2
	NHDE	Diverging	None		500
Case 2. Initial guess: 0.127, 0.9134	Method	Result	HAM iterations		Other iterations
	NHAM	Converging	1		Newton	77
	GAHAM	Converging	None		GA	1
	NHDE	Converging	None		22
Case 3. Initial guess:	Method	Result	HAM iterations		Other iterations
	NHAM	Converging	1		Newton	100
			2			11
	GAHAM	Converging	None		GA	1
	NHDE	Converging	None		105