Monomiality and partial differential equations
| Autor: | Giuseppe Dattoli, M. R. Martinelli, Paolo Ricci, B. Germano |
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| Rok vydání: | 2009 |
| Předmět: |
Partial differential equation
Recurrence relation Differential equation Numerical analysis Mathematical analysis Finite difference Finite difference method integro-differential equations appell polynomials initial value problems monomiality principle partial differential equations sheffer polynomials Computer Science Applications Modelling and Simulation Modeling and Simulation Applied mathematics Differential algebraic geometry Numerical partial differential equations Mathematics |
| Zdroj: | Mathematical and Computer Modelling. 50:1332-1337 |
| ISSN: | 0895-7177 |
| DOI: | 10.1016/j.mcm.2009.06.013 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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