A numerical solution of variable order di usion and wave equations

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran.

2 Department of Mathematics, University of Mazandaran, Babolsar, Iran. Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa.

3 Department of Mathematics, University of Mazandaran, Babolsar, Iran.

10.22075/ijnaa.2021.4652

Abstract

In this work, we consider variable order difusion 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 di usion and wave equations to an algebraic system. Some examples are
given to show the validity of the presented method.

Keywords