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Allah Bakhsh Yazdani Cherati

Allah Bakhsh Yazdani Cherati

Academic rank: Associate Professor
ORCID: 0000-0002-3352-5829
Education: PhD.
ScopusId: 57189309801
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302471

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.