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 reliable implicit di erence scheme for treatments of fourth-order fractional sub-di usion equation
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Ji Huan He's fractional derivative; Convergence; Finite difference approximation; Fractional differential equations; Stability
سال
2016
مجله Scientia Iranica
پژوهشگران خسرو سایوند

چکیده

In this paper, a reliable implicit di erence scheme is proposed to analyze the fractional fourth-order subdi usion equation on a bounded domain. The time-fractional derivative operator is characterized in the Ji Huan He's sense, and the space derivative is approximated by the ve-point centered formula. The numerical parameters, i.e. consistency, stability, and convergence analyses of the considered scheme, are proven.