Comparing Optimal Homotopy Asymptotic Method and Adomian Decomposition Method for the Solution of Integro-Differential Equations

摘要

In this work, the author compares optimal homotopy asymptotic method with Adomian decomposition method for the solution of integro-differential equations. These methods are applied to first, second and third order problems. Both of these methods develop series solutions to a wide variety of functional equations. Optimal homotopy asymptotic method traces the solution very rapidly as it uses a homotopy and control the convergence by the virtue of auxiliary function. Numerical results are compared with the exact solution.