OPERATIONAL MATRICES FOR SOLVING A CLASS OF VARIABLE-ORDER PARTIAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, we present a numerical technique which is capable of handling variable-order partial differential equations. In this approach, we replace the partial derivatives with operational matrices. We make use of the collocation points to create a system of algebraic equations. The solutions of this system of equations enable us to attain an approximate solution of a variable-order partial differential equation. We demonstrate, with the aid of practical examples, that this method has the ability to deal with complex problems in a fairly straightforward manner and is also highly accurate.