The comparison of homotopy perturbation method with finite difference method for determination of maximum beam deflection

Authors

Abstract

AbstractThis paper deals with the determination of maximum beam deflection using homotopy perturbation method (HPM) and finite difference method (FDM). By providing some examples, we compare the results with exact solutions and conclude that HPM is more accurate, more stable and effective and can therefore be found widely applicable in structrue engineering.

Keywords

• Exact solution
• Analytical approximate methods
• Force method
• Maximum beam deflection
• Nonlinear differential equations
• Numerical methods