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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
A numerical solution of variable order diffusion and wave equations
Type
JournalPaper
Keywords
Variable order diffusion and wave equations, Genocchi polynomials, Operational matrix, Collocation method.
Year
2021
Journal international journal of nonlinear analysis and applications
DOI
Researchers Nematollah Kadkhoda ، Hossein Jafari ، Roghayeh Moallem Ganji

Abstract

In this work, we consider variable order diffusion and wave equations. The derivative is described in the Caputo sence of variable order. We use the Genocchi polynomials as basic functions and obtain operational matrices via these polynomials. These matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. Some examples are given to show the validity of the presented method.