We discuss an operational method aimed at providing explicit solutions for families of partial differential equations including those of Heat and D'Alembert type. The combination of the monomiality principle and of the methods proposed in this article will be shown to be a useful tool for the solution of equations, hardly solvable with conventional means.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Ricci, P. E., & Khomasuridze, I. (2004). Operational methods, special polynomial and functions and solution of partial differential equations. Integral Transforms and Special Functions, 15(4), 309 - 321. https://doi.org/10.1080/10652460410001673013