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

Algorithm 1

Pseudocode of the proposed algorithm.

	Initialize:
(i)	the size of the population (N)
(ii)	the maximum number of generations (G)
(iii)	the initial random guess with its corresponding residual function F
(iv)	(n + 1) the number of angles () with their respective domains, where n is the number of system variables
(v)	m number of HAM series
(vi)	The angle with its domain
(vii)	The desired tolerance for stopping = Tol
	While the stop criterion is not satisfied, do
	Stage 1
	For It = 1 : G Do
For i = 1 : N Do
Calculate the new individual
Calculate its fitness function
End For
End For
If
Then, display solution =
Else
Stage 2
Stage 3
For It = 1 : G Do
For i = 1 : N Do
End for
End for
If
Then, display solution =
Convergence control parameter optimum value =
Else
Go to stage 1
End while