Monomiality and partial differential equations

We show that the combination of the formalism underlying the principle of monomiality and of methods of an algebraic nature allows the solution of different families of partial differential equations. Here we use different realizations of the Heisenberg-Weyl algebra and show that a Sheffer type realization leads to the extension of the method to finite difference and integro-differential equations. © 2009 Elsevier Ltd. All rights reserved