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.
2009
appell polynomials; initial value problems; integro-differential equations; monomiality principle; partial differential equations; sheffer polynomials
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/227489
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