Title of article :
The comparison of homotopy perturbation method with finite difference method for determination of maximum beam deflection
Author/Authors :
Saravi, Masoud Islamic Azad University, Nour Branch - Department of Mathematics, ايران , Hermann, Martin Friedrich-Schiller-Universität Jena - Fakultät für Mathematik und Informatic, Germany , Ebrahimi Khah, Hadi Friedrich-Schiller-Universität Jena - Fakultät für Mathematik und Informatic, Germany
Abstract :
This 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 structure engineering.
Keywords :
Nonlinear differential equations , Analytical approximate methods , Numerical methods , Force method , Exact solution , Maximum beam deflection
Journal title :
Journal of Theoretical and Applied Physics
Journal title :
Journal of Theoretical and Applied Physics