The use of genetic algorithm in the approximatesolution for a nonlinear Painleve equation byAirfoil polynomials

In this paper, the Airfoil polynomials and the collocation method are used for solving Painleve' equation. The use of geneticalgorithm has been able to provide us with the best amount of variables in this direction. The accuracy of this method isshown by solving a sample example and the proposed scheme is compared with other methods to illustrate the efficiency ofthe method

کلیدواژه ها:

Airfoil polynomials ، nonlinear Painleve equations ، collocation method ، Genetic Algorithm