## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2019-07-29

PAPER REVISED: 2019-08-30

PAPER ACCEPTED: 2019-09-10

PUBLISHED ONLINE: 2019-10-06

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 6**, PAGES [S2063 - S2071]

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