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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
Solving fractional Advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative
Type
JournalPaper
Keywords
Atangana-Baleanu derivative, Atangana-Baleanu integral, Advection-Diffusion equation, Operational matrix, Genocchi polynomials
Year
2021
Journal Discrete and Continuous Dynamical Systems-Series S
DOI
Researchers sedigheh Sadeghi ، Hossein Jafari ، Somayeh Nemati

Abstract

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.