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

محورهای موضوعی : Journal of Theoretical and Applied Physics

Masoud Saravi ¹ , Martin Hermann ² , Hadi Ebrahimi Khah ³

1 - Department of Mathematics, Islamic Azad University, Nour Branch
2 - Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität Jena
3 - Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität Jena

تاریخ انتشار : 1392/09/10

کلید واژه: Nonlinear differential equatio, Analytical approximate methods, Numerical methods, Force method, Exact solution, Maximum beam deflection,

چکیده مقاله :

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.