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
Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Fractional diffusion equations, Caputo derivative, B-spline basis functions, collocation method, stability, convergence
سال
2016
مجله JOURNAL OF VIBRATION AND CONTROL
پژوهشگران خسرو سایوند

چکیده

In this paper, we approximate the solution of the initial and boundary value problems of anomalous second- and fourthorder sub-diffusion equations of fractional order. The fractional derivative is used in the Caputo sense. To solve these equations, we will use a numerical method based on B-spline basis functions and the collocation method. It will be shown that the proposed scheme is unconditionally stable and convergent. Three numerical examples are adopted to demonstrate the performance of the proposed scheme.