Comparison Between Adomian Decomposition Method and Optimal Homotopy Asymptotic Method for a Two Moving Boundaries Problem

Abstract

Adomian decomposition method and optimal homotopy asymptotic method are successfully applied to find approximate solutions of a two moving boundaries problem governed with fractional time derivative in Caputo sense. Both approximate solutions are compared with the existing exact solution and numerical results are depicted through graphs and table. It is found that both techniques perform extremely well in terms of simplicity and accuracy. A brief study of dependence of moving boundaries on different parameters is also discussed. © 2016, Foundation for Scientific Research and Technological Innovation.