Research Article
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 |
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