SOLVING A CLASS OF BOUNDARY VALUE PROBLEMS IN STRUCTURAL ENGINEERING AND FLUID MECHANICS USING HOMOTOPY PERTURBATION AND ADOMIAN DECOMPOSITION METHODS

Abstract

In this article, the performance of two analytical methods known as the homotopy perturbation method (HPM) and Adomian decomposition method (ADM) on solving linear and nonlinear boundary value problems structural engineering and uid mechanics are compared.  In order to compare these mathematical models, various problems in inelastic and viscoelastic ows, deformation of beams, and plate deflection theory are chosen.  In addition, the results of these two methods are compared with exact solutions to evaluate the precision and accuracy of these numerical methods.