A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS
Hossein Towsyfyan · International journal of mathematical modelling and computations · 2013
The purpose of this study is to demonstrate the potential of Imperialist Com- petitive Algorithm (ICA) for solving Blasius dierential equation. This algorithm is inspired by competition mechanism among Imperialists and colonies and has demonstrated excel- lent capabilities such as simplicity, accuracy, faster convergence and better global optimum achievement in contrast to other evolutionary algorithms. To validate the proposed approach, the results of ICA were nally compared with exact solution of variational iteration method (VIM). Based on the results, current method can be easily extended to solve a wide range of problems.