2024 : 6 : 13
Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
Applications of Spectral Collocation Methods in Fractional Diffusion Equations
Type
Thesis
Keywords
fractional differential equations; generalized Jacobi functions; spectral method; Petrov-Galerkin method
Year
2022
Researchers Mohammed Al haideri(Student)، Afshin Babaei(Advisor)، Allah Bakhsh Yazdani Cherati(PrimaryAdvisor)

Abstract

We present essential properties of the generalized Jacobi functions (GJFs) and their application to construct efficient and accurate spectral methods (SM) for a class of fractional differential equations (FDEs). In particular, it is shown that GJFs allow us to effortlessly compute the stiffness matrices, and resolve the leading singular term for a general class of FDEs.