1403/03/31
سمیه نعمتی

سمیه نعمتی

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302419

مشخصات پژوهش

عنوان
Solving fractional Advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Atangana-Baleanu derivative, Atangana-Baleanu integral, Advection-Diffusion equation, Operational matrix, Genocchi polynomials
سال
2021
مجله Discrete and Continuous Dynamical Systems-Series S
شناسه DOI
پژوهشگران sedigheh Sadeghi ، Hossein Jafari ، Somayeh Nemati

چکیده

In recent years, a new definition of fractional derivative which has a nonlocal and non-singular kernel has been proposed by Atangana and Baleanu. This new definition is called the Atangana-Baleanu derivative. In this paper, we present a new technique to obtain the numerical solution of advection-diffusion equation containing Atangana-Baleanu derivative. For this purpose, we use the operational matrix of fractional integral based on Genocchi polynomials. An error bound is given for the approximation of a bivariate function using Genocchi polynomials. Finally, some examples are given to illustrate the applicability and efficiency of the proposed method.