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.
Monomiality and partial differential equations / G., Dattoli; Germano, Bruna; Martinelli, Maria Renata; Ricci, Paolo Emilio. - In: MATHEMATICAL AND COMPUTER MODELLING. - ISSN 0895-7177. - 50:9-10(2009), pp. 1332-1337. [10.1016/j.mcm.2009.06.013]
Monomiality and partial differential equations
GERMANO, Bruna;MARTINELLI, Maria Renata;RICCI, Paolo Emilio
2009
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
