مشخصات پژوهش

صفحه نخست /Laguerre wavelets spectral ...
عنوان Laguerre wavelets spectral method for solving a class of fractional order PDEs arising in viscoelastic column modeling
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Laguerre wavelets, Caputo fractional derivatives, viscoelastic column, spectral methods
چکیده The mechanical properties of the various materials could be influenced by external forces. The aim of this paper is to study the fractional order of viscoelastic column dynamic in Caputo sense. For this purpose, Laguerre wavelets and their operational matrices of integer and fractional orders are constructed and utilized to reduce the main fractional problem to some algebraic equation. Then, the obtained equation is discretized in the determined collocation nodes. Therefore an algebraic system is achieved that by solving it, the approximated solution of main problem is obtained. For showing the accuracy and efficiency of the purposed method, some illustrative examples are provided and the numerical results are compared with the results of some other approaches.
پژوهشگران زهرا محمودی (نفر اول)، محمد مهدی زاده خالسرایی (نفر دوم)، منیره نصرتی سهلان (نفر سوم)، علی شکری (نفر چهارم)