A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS

Abstract

The purpose of this study is to demonstrate the potential of Imperialist CompetitiveAlgorithm (ICA) for solving Blasius dierential equation. This algorithm is inspiredby competition mechanism among Imperialists and colonies and has demonstrated excellentcapabilities such as simplicity, accuracy, faster convergence and better global optimumachievement 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 ofproblems.