01 تیر 1403
خسرو سايوند

خسرو سایوند

مرتبه علمی: استاد
نشانی: ملایر گروه ریاضی دانشگاه ملایر
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 081-33398981
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
A novel computational framework to approximate the analytical solution of a nonlinear fractional elastic beam equation
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Caputo fractional derivative; Nonlinear elastic beam equation; Fourier transform; Laplace transform; Homotopy perturbation method.
سال
2015
مجله Scientia Iranica
پژوهشگران خسرو سایوند

چکیده

In this paper, the generalized travelling solutions of the nonlinear fractional beam equation is investigated by means of the homotopy perturbation method. The fractional derivative is described in the Caputo sense. The reliability and potential of the proposed approach, which is based on joint Fourier-Laplace transforms and the homotopy perturbation method, will be discussed. The solutions can be approximated via an analytical series solution. Moreover, the convergence and stability of the proposed approach for this equation is investigated, and the results reveal that the proposed scheme is very e ective and promising.