Optimal solution of integro-differential equation of Suspension Bridge Model using Genetic Algorithm and Nelder-Mead method

In this paper, a fourth order integro-differential arising in the modeling of suspension bridge. A hybrid Genetic Algorithm (GA) and Nelder-Mead (NM) optimization technique is employed along with collocation finite element method and Optimal Homotopic Asymptotic Method. The solutions are compared with existing solutions. A excellent comparison is obtain results are shown, graphs and tables are shown.