مشخصات پژوهش

عنوان	Solving fractional Advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Atangana-Baleanu derivative, Atangana-Baleanu integral, Advection-Diffusion equation, Operational matrix, Genocchi polynomials
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.
پژوهشگران	سمیه نعمتی (نفر سوم)، حسین جعفری (نفر دوم)، صدیقه صادقی (نفر اول)