2024 : 5 : 3
Hossein Jafari

Hossein Jafari

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

Research

Title
A NUMERICAL SCHEME TO SOLVE VARIABLE ORDER DIFFUSION-WAVE EQUATIONS
Type
JournalPaper
Keywords
variable order diffusion-wave equations, Bernstein polynomials, operational matrix, collocation method
Year
2019
Journal Thermal Science
DOI
Researchers Roghayeh Moallem Ganji ، Abdullahi Rashid Adem ، Hossein Jafari

Abstract

In this work, we consider variable order diffusion-wave equations. We choose variable order derivative in the Caputo sense. First, we approximate the unknown functions and its derivatives using Bernstein basis. Then, we obtain operational matrices based on Bernstein polynomials. Finally, with the help of these operational matrices and collocation method, we can convert variable order diffusion-wave equations to an algebraic system. Few examples are given to demonstrate the accuracy and the competence of the presented technique.