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

الموضوعات : Journal of Theoretical and Applied Physics

Masoud Saravi ¹ (Department of Mathematics, Islamic Azad University, Nour Branch)
Martin Hermann ² (Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität Jena)
Hadi Ebrahimi Khah ³ (Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität Jena)

تاريخ الإصدار : 28 الأحد , محرم, 1435

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

ملخص المقالة :

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.