A numerical solution of variable order diusion and wave equations

نویسندگان

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

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

R.M. Ganji Department of Mathematics, University of Mazandaran, Babolsar, Iran.

چکیده مقاله:

In this work, we consider variable order difusion and wave equations. The derivative is describedin the Caputo sence of variable order. We use the Genocchi polynomials as basic functions andobtain operational matrices via these polynomials. These matrices and collocation method help usto convert variable order diusion and wave equations to an algebraic system. Some examples aregiven to show the validity of the presented method.