THERMAL SCIENCE

International Scientific Journal

Roghayeh Moallem Ganji

,

Hossein Jafari

,

Abdullahi Rashid Adem

A NUMERICAL SCHEME TO SOLVE VARIABLE ORDER DIFFUSION-WAVE EQUATIONS

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.
KEYWORDS
variable order diffusion-wave equations, Bernstein polynomials, operational matrix, collocation method
PAPER SUBMITTED: 2019-07-29
PAPER REVISED: 2019-08-30
PAPER ACCEPTED: 2019-09-10
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190729371M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2063 - S2071]
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A numerical scheme to solve variable order diffusion-wave equations

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