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
Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Dual Bernstein operators, Fractional convection-diffusion equation, Error analysis, Operational matrix
سال
2021
مجله JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
پژوهشگران خسرو سایوند

چکیده

The Bernstein operators (BO) are not orthogonal, but they have duals, which are obtained by a linear combination of BO. In recent years dual BO have been adopted in computer graphics, computer aided ge- ometric design, and numerical analysis. This paper presents a numerical method based on the Bernstein operational matrices to solve the time-space fractional convection-diffusion equation. A generalization of the derivative matrix operator of fractional order and the error analysis are discussed. Numerical exam- ples compare the proposed approach with previous works, showing that the method is more accurate and efficient.